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Page title matches

• Topology
  ...escribe how a space is assembled, such as connectedness and orientability. Topology may be viewed as the search for solutions of problems relating to the geome ...pts of homotopy and homology, which are now considered part of [[algebraic topology]].
  1 KB (206 words) - 14:09, 29 December 2008
• Grothendieck topology
  The notion of a '''Grothendieck topology''' or '''site'''' captures the essential properties necessary for construct A ''Grothendieck topology'' <math>T</math> consists of
  2 KB (356 words) - 04:37, 26 December 2007
• Subspace topology
  ...opology]], the '''subspace topology''', or '''induced''' or '''relative''' topology, is the assignment of open sets to a [[subset]] of a [[topological space]]. ...family of [[open set]]s, and let ''A'' be a subset of ''X''. The subspace topology on ''A'' is the family
  814 bytes (118 words) - 13:51, 7 February 2009
• Cofinite topology
  In [[mathematics]], the '''cofinite topology''' is the [[topology]] on a [[set (mathematics)|set]] in the the [[open set]]s are those which h .... We therefore assume that ''X'' is an [[infinite set]] with the cofinite topology; it is:
  1,007 bytes (137 words) - 22:52, 17 February 2009
• Grothendieck Topology
  #REDIRECT [[Grothendieck topology]]
  35 bytes (3 words) - 12:52, 4 December 2007
• Quotient topology
  In [[general topology]], the '''quotient topology''', or '''identification topology''' is defined on the [[image]] of a [[topological space]] under a [[functi ...''q'' a [[surjective function]] from ''X'' onto a set ''Y''. The quotient topology on ''Y'' has as open sets those subsets <math>U</math> of <math>Y</math> su
  1 KB (167 words) - 17:20, 6 February 2009
• Cocountable topology
  In [[mathematics]], the '''cocountable topology''' is the [[topology]] on a [[set (mathematics)|set]] in which the [[open set]]s are those which ...therefore assume that ''X'' is an [[uncountable set]] with the cocountable topology; it is:
  1,004 bytes (134 words) - 22:48, 17 February 2009
• Separability (topology)
  In [[topology]], '''separability''' may refer to:
  109 bytes (13 words) - 12:54, 31 May 2009
• Spherical topology
  81 bytes (10 words) - 08:16, 18 February 2010
• Topology (mathematics)
  81 bytes (10 words) - 05:05, 22 February 2010
• Discrete topology
  28 bytes (3 words) - 07:49, 28 December 2008
• Topology/Definition
  196 bytes (25 words) - 08:48, 13 January 2009
• Genus (topology)
  81 bytes (10 words) - 05:05, 22 February 2010
• Indiscrete topology
  30 bytes (3 words) - 16:02, 4 January 2013
• Network Topology
  #REDIRECT [[Network topology]]
  30 bytes (3 words) - 02:42, 1 April 2007
• Neighbourhood (topology)
  In [[topology]], a '''neighbourhood of a point''' is any set that belongs to the '''neigh and define the topology induced by the metric.
  7 KB (1,205 words) - 09:52, 8 September 2013
• Network topology
  The '''topology''' of a [[computer network]] defines how that network is "laid out." Topolo ==Star topology==
  6 KB (923 words) - 12:40, 11 June 2009
• Topology/Bibliography
  * {{cite book | author=John G. Hocking | coauthors=Gail S. Young | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }} ...intelligent general reader; chapter 8, "Rubber-Sheet Geometry," deals with topology.
  407 bytes (53 words) - 18:13, 13 March 2009
• Basis (topology)
  51 bytes (6 words) - 02:30, 27 November 2008
• Closure (topology)
  * The complement of the closure of a set in ''X'' is the [[interior (topology)|interior]] of the complement of that set; the complement of the interior o
  1 KB (184 words) - 15:20, 6 January 2009
• Compact (topology)
  27 bytes (3 words) - 10:57, 25 May 2010
• Neighborhood (topology)
  #REDIRECT [[Neighbourhood (topology)]]
  38 bytes (3 words) - 04:58, 27 May 2009
• End (topology)
  In [[general topology]], an '''end''' of a [[topological space]] generalises the notion of "point
  1 KB (250 words) - 01:07, 19 February 2009
• Interior (topology)
  ...ed as the set of all points in ''A'' for which ''A'' is a [[neighbourhood (topology)|neighbourhood]]. * The complement of the [[closure (topology)|closure]] of a set in ''X'' is the interior of the complement of that set;
  1 KB (172 words) - 15:44, 7 February 2009
• Topology correction
  ...to procedures that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging data.
  228 bytes (29 words) - 05:45, 8 September 2009
• Product topology
  In [[general topology]], the '''product topology''' is an assignment of open sets to the [[Cartesian product]] of a family o ...(that is, ''H'' is an element of ''U''). So a set is open in the product topology if is a union of products of open sets.
  2 KB (345 words) - 16:47, 6 February 2010
• Net (topology)
  ...quence]]. Convergence of a net may be used to completely characterise the topology. ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=62-83 }}
  1,002 bytes (167 words) - 17:12, 7 February 2009
• Cocountable topology/Bibliography
  ...| first=John L. | last=Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | series=The University Series in Hig ...rthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | edition=2nd edition | year=1978 | publisher=[[Springer-Verlag]] | locat
  501 bytes (61 words) - 12:59, 6 January 2013
• Neighbourhood (topology)/Bibliography
  ...ic notion of topology, are treated in any textbook on general or point set topology. See [[Topology/Bibliography]] for recommandations.
  738 bytes (95 words) - 04:56, 2 June 2009
• Topology (mathematics)/Definition
  136 bytes (15 words) - 05:38, 5 February 2010
• Spherical topology/Definition
  ...n applications to describe [[surface (topology)|surfaces]] that have the [[topology of the sphere]], i.e., roughly spoken, they are closed, have two sides, no
  231 bytes (35 words) - 12:51, 8 February 2010
• Grothendieck topology/Approval
  12 bytes (1 word) - 04:48, 26 December 2007
• Quotient topology/Definition
  The finest topology on the image set that makes a surjective map from a topological space conti
  137 bytes (20 words) - 11:53, 31 December 2008
• Cocountable topology/Definition
  The topology on a space in which the open sets are those with countable complements, or
  138 bytes (22 words) - 17:28, 28 December 2008
• Network topology/Definition
  262 bytes (37 words) - 00:06, 15 January 2009
• Cofinite topology/Definition
  The topology on a space in which the open sets are those with finite complement, or the
  134 bytes (22 words) - 17:29, 28 December 2008
• Closure (topology)/Definition
  77 bytes (11 words) - 15:20, 6 January 2009
• Grothendieck topology/Definition
  138 bytes (23 words) - 08:20, 4 September 2009
• End (topology)/Definition
  137 bytes (21 words) - 01:09, 19 February 2009
• Net (topology)/Definition
  130 bytes (18 words) - 10:10, 4 September 2009
• Topology/Related Articles
  {{r|Algebraic topology}} {{r|General topology}}
  890 bytes (141 words) - 14:14, 29 December 2008
• Neighbourhood (topology)/Approval
  | article url = http://en.citizendium.org/wiki?title=Neighbourhood_(topology)&oldid=100668023
  535 bytes (44 words) - 20:12, 6 May 2010
• Genus (topology)/Definition
  ...[[Euler characteristic]] of a [[surface]], equal to the number of "[[hole (topology)|holes]]" or "handles"; a [[Betti number]].
  189 bytes (26 words) - 14:02, 8 February 2010
• Product topology/Definition
  Topology on a product of topological spaces whose open sets are constructed from car
  177 bytes (25 words) - 11:10, 4 September 2009
• Interior (topology)/Definition
  118 bytes (18 words) - 16:26, 27 December 2008
• Subspace topology/Definition
  99 bytes (15 words) - 19:58, 4 September 2009
• Topology/External Links
  * [http://www.dmoz.org/Science/Math/Topology/ Open Directory - Topology]
  85 bytes (12 words) - 14:25, 29 December 2008
• Sub-basis (topology)
  51 bytes (6 words) - 02:31, 27 November 2008
• Closure (topology)/Approval
  12 bytes (1 word) - 15:20, 6 January 2009
• Bus (network topology)
  In [[network topology]], a '''bus''' is a medium that is physically shared, or uses interconnecti
  561 bytes (84 words) - 21:16, 18 July 2010
• Neighbourhood (topology)/Definition
  156 bytes (24 words) - 18:54, 28 May 2009
• Network topology/Approval
  12 bytes (1 word) - 02:20, 11 November 2007
• Topology correction/Definition
  ...er graphics]] that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging data.
  222 bytes (30 words) - 05:47, 8 September 2009
• Cofinite topology/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Cofinite topology]]. Needs checking by a human.
  478 bytes (62 words) - 11:58, 11 January 2010
• Countability axioms in topology
  '''Countability axioms in topology''' are properties that a [[topological space]] may satisfy which refer to t ...''' is one for which there is a countable [[base (topology)|base]] for the topology.
  677 bytes (96 words) - 01:19, 18 February 2009
• Subspace topology/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Subspace topology]]. Needs checking by a human.
  482 bytes (62 words) - 20:41, 11 January 2010
• Net (topology)/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Net (topology)]]. Needs checking by a human.
  428 bytes (55 words) - 18:57, 11 January 2010
• Network topology/Related Articles
  98 bytes (9 words) - 05:21, 8 March 2024
• Product topology/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Product topology]]. Needs checking by a human.
  497 bytes (64 words) - 19:44, 11 January 2010
• Closure (topology)/Related Articles
  {{r|Topology}} {{r|Interior (topology)}}
  288 bytes (41 words) - 15:20, 6 January 2009
• Interior (topology)/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Interior (topology)]]. Needs checking by a human. {{r|Closure (topology)}}
  572 bytes (73 words) - 17:29, 11 January 2010
• Neighbourhood (topology)/Citable Version
  In [[topology]], a '''neighbourhood of a point''' is any set that belongs to the '''neigh and define the topology induced by the metric.
  7 KB (1,205 words) - 09:51, 8 September 2013
• Grothendieck topology/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Grothendieck topology]]. Needs checking by a human.
  471 bytes (60 words) - 17:00, 11 January 2010
• End (topology)/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/End (topology)]]. Needs checking by a human.
  457 bytes (59 words) - 16:18, 11 January 2010
• Topology correction/Related Articles
  {{r|Topology (mathematics)}} {{r|Hole (topology)}}
  1 KB (181 words) - 06:14, 5 February 2010
• Quotient topology/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Quotient topology]]. Needs checking by a human.
  492 bytes (62 words) - 19:52, 11 January 2010
• Bus (network topology)/Definition
  179 bytes (24 words) - 21:14, 18 July 2010
• Neighbourhood (topology)/Related Articles
  {{r|Topology}}
  214 bytes (23 words) - 09:00, 28 May 2009
• Cocountable topology/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Cocountable topology]]. Needs checking by a human.
  443 bytes (56 words) - 11:58, 11 January 2010
• Countability axioms in topology/Definition
  155 bytes (21 words) - 01:18, 18 February 2009

Page text matches

• Topology correction
  ...to procedures that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging data.
  228 bytes (29 words) - 05:45, 8 September 2009
• Neighbourhood (topology)/Bibliography
  ...ic notion of topology, are treated in any textbook on general or point set topology. See [[Topology/Bibliography]] for recommandations.
  738 bytes (95 words) - 04:56, 2 June 2009
• Baire category theorem
  ...e set]]s (sets whose [[closure (topology)|closure]] have empty [[interior (topology)|interior]]). ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=200-201 }}
  501 bytes (67 words) - 23:00, 5 February 2009
• Subspace topology
  ...opology]], the '''subspace topology''', or '''induced''' or '''relative''' topology, is the assignment of open sets to a [[subset]] of a [[topological space]]. ...family of [[open set]]s, and let ''A'' be a subset of ''X''. The subspace topology on ''A'' is the family
  814 bytes (118 words) - 13:51, 7 February 2009
• Spherical topology/Definition
  ...n applications to describe [[surface (topology)|surfaces]] that have the [[topology of the sphere]], i.e., roughly spoken, they are closed, have two sides, no
  231 bytes (35 words) - 12:51, 8 February 2010
• Topology correction/Definition
  ...er graphics]] that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging data.
  222 bytes (30 words) - 05:47, 8 September 2009
• Quotient topology
  In [[general topology]], the '''quotient topology''', or '''identification topology''' is defined on the [[image]] of a [[topological space]] under a [[functi ...''q'' a [[surjective function]] from ''X'' onto a set ''Y''. The quotient topology on ''Y'' has as open sets those subsets <math>U</math> of <math>Y</math> su
  1 KB (167 words) - 17:20, 6 February 2009
• Cocountable topology
  In [[mathematics]], the '''cocountable topology''' is the [[topology]] on a [[set (mathematics)|set]] in which the [[open set]]s are those which ...therefore assume that ''X'' is an [[uncountable set]] with the cocountable topology; it is:
  1,004 bytes (134 words) - 22:48, 17 February 2009
• Topological space/Bibliography
  * {{citation | last1=Franz | first1=Wolfgang | title=General Topology | publisher=Harrap | year=1967 }} ...on | last1=Hocking | first1=John G. | last2=Young | first2=Gail S. | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }}
  804 bytes (100 words) - 02:27, 1 November 2008
• Separation axioms/Bibliography
  * {{citation | last1=Franz | first1=Wolfgang | title=General Topology | publisher=Harrap | year=1967 }} ...on | last1=Hocking | first1=John G. | last2=Young | first2=Gail S. | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }}
  804 bytes (100 words) - 07:17, 2 November 2008
• Homeomorphism/Bibliography
  * {{citation | last1=Franz | first1=Wolfgang | title=General Topology | publisher=Harrap | year=1967 }} ...on | last1=Hocking | first1=John G. | last2=Young | first2=Gail S. | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }}
  804 bytes (100 words) - 12:53, 2 November 2008
• Cofinite topology
  In [[mathematics]], the '''cofinite topology''' is the [[topology]] on a [[set (mathematics)|set]] in the the [[open set]]s are those which h .... We therefore assume that ''X'' is an [[infinite set]] with the cofinite topology; it is:
  1,007 bytes (137 words) - 22:52, 17 February 2009
• Topology
  ...escribe how a space is assembled, such as connectedness and orientability. Topology may be viewed as the search for solutions of problems relating to the geome ...pts of homotopy and homology, which are now considered part of [[algebraic topology]].
  1 KB (206 words) - 14:09, 29 December 2008
• Complete metric space/Bibliography
  * {{citation | last1=Franz | first1=Wolfgang | title=General Topology | publisher=Harrap | year=1967 }} ...on | last1=Hocking | first1=John G. | last2=Young | first2=Gail S. | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }}
  699 bytes (87 words) - 12:20, 4 January 2009
• Denseness/Bibliography
  * {{cite book | author=Wolfgang Franz | title=General Topology | publisher=Harrap | year=1967 | pages=43 }} ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=49 }}
  512 bytes (62 words) - 02:28, 29 December 2008
• Nowhere dense set
  ...space is a set whose [[closure (topology)|closure]] has empty [[interior (topology)|interior]]. ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=145,201 }}
  850 bytes (118 words) - 22:30, 20 February 2010
• Separation axioms/Related Articles
  {{r|Cocountable topology}} {{r|Cofinite topology}}
  541 bytes (68 words) - 20:17, 11 January 2010
• Topology/Bibliography
  * {{cite book | author=John G. Hocking | coauthors=Gail S. Young | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }} ...intelligent general reader; chapter 8, "Rubber-Sheet Geometry," deals with topology.
  407 bytes (53 words) - 18:13, 13 March 2009
• Discrete space
  ...]], a '''discrete space''' is a [[topological space]] with the '''discrete topology''', in which every [[subset]] is open. * A discrete space is metrizable, with the topology induced by the [[discrete metric]].
  872 bytes (125 words) - 15:57, 4 January 2013
• Countability axioms in topology
  '''Countability axioms in topology''' are properties that a [[topological space]] may satisfy which refer to t ...''' is one for which there is a countable [[base (topology)|base]] for the topology.
  677 bytes (96 words) - 01:19, 18 February 2009
• Topological
  #REDIRECT [[Topology]]
  22 bytes (2 words) - 07:50, 22 January 2010
• Weil-étale cohomology
  ...d. Its construction bears the same relation to the [[Étale morphism|étale topology]] as the [[Weil group]] does to the [[Galois group]]. * Lichtenbaum, Stephen. (date) ''The Weil-Étale Topology'', (preprint?).
  809 bytes (109 words) - 12:00, 1 January 2008
• Closure (topology)/Related Articles
  {{r|Topology}} {{r|Interior (topology)}}
  288 bytes (41 words) - 15:20, 6 January 2009
• Noetherian space
  In [[topology]], a '''Noetherian space''' is a [[topological space]] satisfying the [[des ...et in a Noetherian space is again Noetherian with respect to the [[induced topology]].
  574 bytes (88 words) - 17:18, 7 February 2009
• Topology correction/Related Articles
  {{r|Topology (mathematics)}} {{r|Hole (topology)}}
  1 KB (181 words) - 06:14, 5 February 2010
• Compactness axioms/Bibliography
  ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 }} ...Arthur Steen | coauthors=J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | year=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York }
  361 bytes (44 words) - 16:09, 2 November 2008
• Network Topology
  #REDIRECT [[Network topology]]
  30 bytes (3 words) - 02:42, 1 April 2007
• Closure (mathematics)
  #REDIRECT [[Closure (topology)]]
  32 bytes (3 words) - 15:20, 6 January 2009
• Neighborhood (topology)
  #REDIRECT [[Neighbourhood (topology)]]
  38 bytes (3 words) - 04:58, 27 May 2009
• Network topologies
  #REDIRECT [[Network topology]]
  30 bytes (3 words) - 00:16, 8 September 2008
• Closure mathematical
  #REDIRECT [[Closure (topology)]]
  32 bytes (3 words) - 08:34, 2 March 2024
• Grothendieck Topology
  #REDIRECT [[Grothendieck topology]]
  35 bytes (3 words) - 12:52, 4 December 2007
• Topological genus
  #REDIRECT [[Genus (topology)]]
  30 bytes (3 words) - 18:54, 27 February 2010
• Topological noise
  #REDIRECT [[Topology correction]]
  33 bytes (3 words) - 02:48, 9 September 2009
• Filter (mathematics)/Bibliography
  ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 }} ...rthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | year=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York |
  383 bytes (48 words) - 02:19, 28 November 2008
• Interior (disambiguation)
  {{r|Interior (topology)}}
  39 bytes (4 words) - 11:08, 31 May 2009
• Topology/External Links
  * [http://www.dmoz.org/Science/Math/Topology/ Open Directory - Topology]
  85 bytes (12 words) - 14:25, 29 December 2008
• Product topology
  In [[general topology]], the '''product topology''' is an assignment of open sets to the [[Cartesian product]] of a family o ...(that is, ''H'' is an element of ''U''). So a set is open in the product topology if is a union of products of open sets.
  2 KB (345 words) - 16:47, 6 February 2010
• Separable space
  #REDIRECT [[Countability axioms in topology]]
  45 bytes (5 words) - 17:49, 1 December 2008
• First countable space
  #REDIRECT [[Countability axioms in topology]]
  45 bytes (5 words) - 17:49, 1 December 2008
• Second countable space
  #REDIRECT [[Countability axioms in topology]]
  45 bytes (5 words) - 17:50, 1 December 2008
• Compact space/Bibliography
  * {{citation | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 }} ...hur Jr. | author2-link=J. Arthur Seebach, Jr. | title=[[Counterexamples in Topology]] | year=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York }
  413 bytes (51 words) - 14:48, 31 October 2008
• Closed set/Related Articles
  {{r|Topology}} {{r|Closure (topology)|Closure}}
  307 bytes (43 words) - 08:34, 2 March 2024
• Discrete metric/Bibliography
  * {{citation | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 }} ...hur Jr. | author2-link=J. Arthur Seebach, Jr. | title=[[Counterexamples in Topology]] | year=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York |
  434 bytes (55 words) - 05:02, 2 November 2008
• Denseness/Related Articles
  {{r|General topology}} {{r|Closure (topology)|Closure}}
  332 bytes (44 words) - 08:34, 2 March 2024
• Door space
  In [[topology]], a '''door space''' is a [[topological space]] in which each [[subset]] i ...up \{ 1/n : n =1,2,\ldots \}</math> of the [[real number]]s with the usual topology is a door space. Any set containing the point 0 is closed: any set not con
  623 bytes (95 words) - 00:59, 19 February 2009
• Indiscrete space
  ...n '''indiscrete space''' is a [[topological space]] with the '''indiscrete topology''', in which the only open [[subset]]s are the empty subset and the space i ...rthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | year=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York |
  766 bytes (106 words) - 16:04, 4 January 2013
• Pachygyria/Related Articles
  {{r|Topology}} {{r|Spherical topology}}
  1 KB (151 words) - 05:46, 20 February 2024
• Morita conjectures/Definition
  Three conjectures in topology relating to normal spaces, now proved.
  104 bytes (13 words) - 02:17, 6 December 2008
• Gyrification/Related Articles
  {{r|Topology}} {{r|Spherical topology}}
  1 KB (153 words) - 05:46, 20 February 2024
• Discrete space/Bibliography
  ...| first=John L. | last=Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | series=The University Series in Hig ...rthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | edition=2nd | year=1978 | publisher=[[Springer-Verlag]] | location=Berl
  493 bytes (60 words) - 13:04, 5 January 2013
• Clopen/Definition
  In [[topology]], a combination of '''clo'''sed and '''open''' (''clopen'' set).
  116 bytes (13 words) - 11:17, 2 October 2009
• Indiscrete space/Bibliography
  ...| first=John L. | last=Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | series=The University Series in Hig ...rthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | edition=2nd edition | year=1978 | publisher=[[Springer-Verlag]] | locat
  501 bytes (61 words) - 13:03, 5 January 2013
• Cocountable topology/Bibliography
  ...| first=John L. | last=Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | series=The University Series in Hig ...rthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | edition=2nd edition | year=1978 | publisher=[[Springer-Verlag]] | locat
  501 bytes (61 words) - 12:59, 6 January 2013
• Discrete space/Definition
  A topological space with the discrete topology, in which every subset is open (and also closed).
  132 bytes (19 words) - 07:58, 28 December 2008
• Basis (mathematics)
  ...or base) for a [[topology]] is a system of [[open set]]s that generate the topology.
  885 bytes (138 words) - 19:39, 31 January 2009
• Open set/Definition
  In geometry and topology, a set that does not contain any of its [[boundary point]]s.
  122 bytes (19 words) - 19:12, 30 September 2009
• Cortical thickness/Related Articles
  {{r|Topology}} {{r|Spherical topology}}
  1 KB (165 words) - 05:46, 20 February 2024
• Generic point
  ==In topology== In [[general topology]], a generic point of a [[topological space]] ''X'' is a point ''x'' such t
  1 KB (240 words) - 20:00, 7 February 2009
• Separability (topology)
  In [[topology]], '''separability''' may refer to:
  109 bytes (13 words) - 12:54, 31 May 2009
• Open set/Related Articles
  [[Topology]]
  57 bytes (6 words) - 19:17, 24 March 2008
• Clopen set/Definition
  In [[topology]], a set with empty [[Boundary point|boundary]] which therefore is both '''
  150 bytes (19 words) - 11:33, 22 February 2010
• Interior (topology)/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Interior (topology)]]. Needs checking by a human. {{r|Closure (topology)}}
  572 bytes (73 words) - 17:29, 11 January 2010
• Distributivity/Related Articles
  {{r|Closure (topology)}} {{r|Interior (topology)}}
  626 bytes (79 words) - 16:01, 11 January 2010
• Spherical harmonics/Definition
  ...ctions that can be used to describe the boundary of objects with spherical topology.
  150 bytes (22 words) - 13:28, 2 September 2008
• Discrete metric/Definition
  ...e which assigns distance one to any distinct points, inducing the discrete topology.
  140 bytes (20 words) - 13:21, 5 December 2008
• Net (topology)
  ...quence]]. Convergence of a net may be used to completely characterise the topology. ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=62-83 }}
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• Cocountable topology/Definition
  The topology on a space in which the open sets are those with countable complements, or
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• Cofinite topology/Definition
  The topology on a space in which the open sets are those with finite complement, or the
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• Étale morphism/Definition
  ...raic analogue of the notion of a local isomorphism in the complex analytic topology.
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• Quotient topology/Definition
  The finest topology on the image set that makes a surjective map from a topological space conti
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• Closed set/Definition
  In geometry and topology, a set that contains its [[boundary point|boundary]]; the complement of an
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• Surface mapping/Definition
  The [[map projection|projection]] of one [[surface (topology)|surface]] onto another.
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• Discrete metric
  ...topology]] induced by the discrete metric is the [[discrete space|discrete topology]], in which every set is open.
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• Interior point/Definition
  In geometry and topology, a point of a set that is not a [[boundary point]].
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• Sober space
  In [[general topology]] and [[logic]], a '''sober space''' is a [[topological space]] in which ev ...ivalent to the [[T1 space]] condition: an infinite set with the [[cofinite topology]] is T1 but not sober whereas a Sierpinski space is sober but not T1.
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• Canonical sheaf/Definition
  In algebraic geometry, differential geometry, and differential topology, the top wedge product of the cotangent sheaf.
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• Erik Christopher Zeeman/Definition
  (born 1925) Mathematician, known for work in geometric topology and singularity theory and for his promotion of catastrophe theory.
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• Link state routing
  '''Link state routing''' is a paradigm for establishing the optimal topology of a network. It uses a distributed computation model, where the direct con ...set of scopes, usually called '''areas''', of which they know the complete topology. They also know how to get to some shared backbone, through which all or mo
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• Heine–Borel theorem/Definition
  In Euclidean space of finite dimension with the usual topology, a subset is compact if and only if it is closed and bounded.
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• Point-to-Point Protocol/Definition
  ...unning data over a wide range of media, which use a logical point-to-point topology
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• Product topology/Definition
  Topology on a product of topological spaces whose open sets are constructed from car
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• Compact space
  ...pological space is compact if it is compact with respect to the [[subspace topology]]. Just as the topology on a topological space may be defined in terms of the [[closed set]]s rathe
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• Brain mapping/Related Articles
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• G-delta set
  In [[general topology]], a '''G_δ set''' is a [[subset]] of a [[topological space]] wh ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=134,207-208 }}
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• Closed set
  Let ''X'' be the open interval (0, 1) with the usual topology induced by the Euclidean distance. Open sets are then of the form ...function]]s on the closed interval [''a'', ''b''] and is endowed with the topology induced by the [[norm (mathematics)|norm]]
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• Genus (topology)/Definition
  ...[[Euler characteristic]] of a [[surface]], equal to the number of "[[hole (topology)|holes]]" or "handles"; a [[Betti number]].
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• Affine scheme
  ...t of prime ideals of ''A''. This set is endowed with a [[Topological pace|topology]] of closed sets, where closed subsets are defined to be of the form ...E\subseteq A</math>. This topology of closed sets is called the ''Zariski topology'' on <math>Spec(A)</math>. It is easy to check that <math>V(E)=V\left((E)\r
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• Genus (disambiguation)
  {{r|Genus (topology)}}
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• Connected space/Bibliography
  ...rthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | year=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York |
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• Stub network/Definition
  A part of a network topology that can be used to reach hosts local to it, not other networks; the concep
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• Condensation point/Definition
  A point x of a set S if every [[Neighborhood (topology)|neighbourhood]] of x contains [[Countable set|uncountably]] many points of
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• Closure (disambiguation)
  {{rpl|Closure (topology)}}
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• End (disambiguation)
  {{rpl|End (topology)}}
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• Nonbroadcast Multiaccess
  ...implementation of [[Network topology#Star topology|star or hub-and-spoke]] topology. ...ystems, called "private virtual local area network (VLAN)", imposes a NBMA topology on a normally broadcast-capable [[Ethernet]]-style transmission system. The
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• Interior (topology)
  ...ed as the set of all points in ''A'' for which ''A'' is a [[neighbourhood (topology)|neighbourhood]]. * The complement of the [[closure (topology)|closure]] of a set in ''X'' is the interior of the complement of that set;
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• Compactification
  In [[general topology]], a '''compactification''' of a [[topological space]] is a [[compact space ...''I''^''F''(''X'') be the [[Cartesian power]] with the [[product topology]]. The evaluation map ''e'' maps ''X'' to ''I''^''F''(''X''),reg
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• Brain morphometry/Related Articles
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• Inner product
  ...eration of projection onto a [[closed set|closed]] subspace (in the metric topology induced by the inner product), just like how the dot product makes it possi ==Norm and topology induced by an inner product==
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• Surface mapping
  ...urface mapping of the results of a [[fibre tracking]] study in which the [[topology]] of the [[cortical connectivity]] network in early [[blindness|blind]] sub
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• Boundary point/Definition
  (of a set) In geometry and topology, a point such that every neighbourhood contains both points in the set and
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• Limit point
  In [[topology]], a '''limit point''' of a [[subset]] ''S'' of a topological space ''X'' i * The [[closure (topology)|closure]] of a set ''S'' is the union of ''S'' with its limit points.
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• Stub network
  ...nternet Protocol networking, a '''stub network''' is a part of the network topology that can be used to reach hosts local to it, not other networks. A very si The first topology diagram shows a pair of broadcast-capable stub networks (e.g., Ethernet/IEE
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• Open Shortest Path First traffic engineering extensions
  ...affic may traverse a path), these routing protocols need to apply not just topology and link metrics, but also the additional MPLS information that is used to ...packet-switching networks, but additional technologies, for which similar topology computation will work, such as optical wavelength and time division (e.g.,
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• Étale morphism
  ...are useful in defining the [[algebraic fundamental group]] and the [[étale topology]]. The category of étale <math>S</math>-schemes becomes a [[Grothendieck topology]], if one defines the sets of coverings to be jointly-surjective collection
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• Exterior point/Definition
  In geometry and topology, a point of a set which is not in the set and is not a [[boundary point]].
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• Metric space
  ...d induces a [[topological space|topology]] in the set called the <i>metric topology</i>. == Metric topology ==
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• Neighborhood (Disambiguation)
  ;: [[Neighborhood (topology)]]
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• Totally bounded set
  ...''n''(''r'') (that depends on the value of ''r'') of [[metric space#Metric topology|open balls]] of radius ''r'', <math>B_r(x_1),\ldots,B_r(x_{n(r)})\,</math>, ...[[complete metric space]] is totally bounded if and only if its [[closure (topology)|closure]] is [[compact space|compact]].
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• Network topology
  The '''topology''' of a [[computer network]] defines how that network is "laid out." Topolo ==Star topology==
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• Cauchy sequence/Related Articles
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• Connected space
  In [[topology]], a '''connected space''' is a [[topological space]] in which there is no * The connected subsets of the [[real number]]s with the Euclidean metric topology are the [[interval]]s.
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• Boundary point
  In [[geometry]] and, more generally, in [[topology]], such that in every [[neighbourhood (topology)|neighbourhood]] there are points
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• Separation axioms
  ...es of [[topological space]] according to how well the [[open set]]s of the topology distinguish between distinct points. ...''V'' are ''separated'' in ''X'' if ''U'' is disjoint from the [[Closure (topology)|closure]] of ''V'' and ''V'' is disjoint from the closure of ''U''.
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• Complete metric space/Related Articles
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• Topological space
  ...called the <i>open sets</i> or the <i>topology</i> of <math>X</math>. The topology of <math>X</math> introduces an abstract structure of space in the set <mat ...imply write <math>X</math> instead of <math>(X,\mathcal T)</math> once the topology <math>\mathcal T</math> is established.
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• Open map
  In [[general topology]], an '''open map''' is a [[function (mathematics)|function]] on a [[topolo ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=90 }}
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• Canonical sheaf
  In [[algebraic geometry]], [[differential geometry]], and [[differential topology]] the canonical sheaf is the top [[wedge product]] of the [[cotangent sheaf
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• Quotient (disambiguation)
  {{r|Quotient topology}}
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• Link state routing/Definition
  ...to determine the best paths to other destinations from their place in the topology. Larger link state networks, for performance reasons, are usually hierarchi
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• Space (mathematics)/Bibliography
  ...athematics for physicists and other outsiders: An introduction to algebra, topology, and functional analysis ...athematics for physicists and other outsiders: An introduction to algebra, topology, and functional analysis
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• Bounded set/Related Articles
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• Morita conjectures
  The '''Morita conjectures''' in [[topology]] ask .... Balogh, Non-shrinking open covers and K. Morita's duality conjectures, ''Topology Appl.'', '''115''' (2001) 333-341</ref>.
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• Cantor set/Related Articles
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• Denseness
  ...be '''dense''' in ''X'', or to be a dense set in ''X'', if the [[closure (topology)|closure]] of ''A'' coincides with ''X'' (that is, if <math>\scriptstyle \o ...ous functions]] on the interval [''a'',''b''] (with respect to the uniform topology).
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• Boundary point/Related Articles
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• Homotopy
  In [[topology]] for two topological spaces <math>X</math> and <math>Y</math> two continuo
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• IEEE 1394
  ==Topology==
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• Cocountable topology/Related Articles
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  In [[network topology]], a '''bus''' is a medium that is physically shared, or uses interconnecti
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• Dual space
  ...ce is again a Banach space when it is endowed with the [[topological space|topology]] induced by the operator norm. If ''X'' is a Banach space then its dual sp ...X \rightarrow \,F</math> when ''F'' is endowed with the standard Euclidean topology.
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• Grothendieck topology
  The notion of a '''Grothendieck topology''' or '''site'''' captures the essential properties necessary for construct A ''Grothendieck topology'' <math>T</math> consists of
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• Homeomorphism/Related Articles
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• Axiom of choice/Bibliography
  ...| first=John L. | last=Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | series=The University Series in Hig
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• Cantor set
  ...table set|countably]] many copies of a two-point space with the [[discrete topology]]. It is thus [[compact space|compact]]. It may be realised as the space The topology on the countable product of the two-point space ''D'' is induced by the met
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• CZ Talk:Core Articles/Mathematics
  ...It's true in a sense that CT is more general than algebra, as it includes topology, for example. But it treats it in an algebraic way, so I think it tends to ::Where is topology on the list, anyway? Can't see that anywhere either, fairly major branch.
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• Internet Protocol version 6/External Links
  * http://tools.ietf.org/html/rfc5120 Multi-Topology ISIS
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• Oxford University Press
  In October 2007 the press announced the first issue of the ''Journal of Topology,'' published on behalf of the [[London Mathematical Society]].
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• Surface (geometry)
  In [[topology]] a surface is defined as a topological space such that * every point has a [[neighbourhood (topology)|neighbourhood]] that is homeomorphic to the (open) unit disk in <math>\mat
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• Closure (topology)
  * The complement of the closure of a set in ''X'' is the [[interior (topology)|interior]] of the complement of that set; the complement of the interior o
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• Borel set
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• Multicasting
  ==Generic multicast topology== ...routers, need to share location information. This means that the multicast topology will need to be of a tree, with routers at the nodes and receiving hosts at
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• Measure theory
  ...], for example the algebra of the real numbers with the standard Euclidean topology. Countable additivity roughly means that the function assigns to any set ''
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• Surface-based morphometry/Related Articles
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• Neighbourhood (topology)/Citable Version
  In [[topology]], a '''neighbourhood of a point''' is any set that belongs to the '''neigh and define the topology induced by the metric.
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• Neighbourhood (topology)
  In [[topology]], a '''neighbourhood of a point''' is any set that belongs to the '''neigh and define the topology induced by the metric.
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• Asynchronous Transfer Mode
  ==Topology==
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• Filter (mathematics)
  ...iven set which has properties generalising those of [[neighbourhood]] in [[topology]].
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• Axiom of choice
  ...y [[compact space|compact topological space]]s is compact in the [[product topology]].
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• Rational number
  ...p;|&thinsp;''x''&nbsp;&minus;&nbsp;''y''&thinsp;|, and this yields a third topology on <math>\mathbb{Q}</math>. All three topologies coincide and turn the rati ...totally disconnected]]. The rational numbers do not form a [[completeness (topology)|complete metric space]]; the [[real numbers]] are the completion of <math>
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• End (topology)
  In [[general topology]], an '''end''' of a [[topological space]] generalises the notion of "point
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• Cauchy sequence
  ...rthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | year=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York |
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• Manifold (geometry)
  ...ausdorff space]] where each point has an [[open set|open]] [[neighborhood (topology)|neighborhood]] which is [[homeomorphism|homeomorphic]] to <math>\scriptsty
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• Intermediate System-Intermediate System
  ...less). With regards to IPv6 support, note that ISIS supports both "Single Topology (Single-SPF, multi-protocol)" as well as "MultiTopology (Multi-SPF, single
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• Rosetta Stone
  ...'Physics, Topology, Logic and Computation: A Rosetta Stone''<ref> Physics, topology, logic and compIn New Structures for Physics, ed. Bob Coecke, Lecture Notes
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• Compactness axioms
  In [[general topology]], the important property of '''[[compact set|compactness]]''' has a number
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• PRC-154
  ...d repeating signals so that the soldiers are in a full mesh. With the mesh topology, if terrain or construction masks the path between two radios, those soldie
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• Uniform space
  ...s a human activity, the theory of uniform spaces is a chapter of [[general topology]]. From the formal point of view, the notion of a uniform space is a siblin ...es that the reader is familiar with certain elementary, basic notions of [[topology]], namely:
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• Commutative algebra
  ...modulo the ideal generated by the polynomials in question. The [[Zariski topology]] (together with a structural sheaf of rings) on this set endows a geometri
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• Triangle inequality
  ...hout mathematics, and is encountered in the theory of [[metric space]]s in topology, the theory of [[normed vector space]]s in functional analysis, and in part
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• Closure operator
  ...[[closed set]]s in a [[topological space]]. The corresponding [[closure (topology)|closure operator]] is denoted <math>\overline A</math>. It may also be ob
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• Session border controller
  An intelligent SBC, in the right topology, can considerably speed the processing of calls in the same part of the IP
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• Open Shortest Path First for IPv6
  ...detect router failures. Database description are means of initializing the topology information. ...bout topology changes, both announcement and withdrawal of elements of the topology.
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• Point-to-Point Protocol
  ...use a physical (e.g., dialup) or logical (e.g., point-to-point over LANs) topology.<ref name=RFC1661>{{citation
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• Extreme value
  ...values ''f''(''x''), and if ''f''(''x''₀) is in the [[interior (topology)|interior]] of the [[domain (mathematics)|domain]] of ''f'', then ''x''<sub
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• Distributed computing
  == Network topology ==
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• Multi-Protocol Label Switching
  ...ong the relevant nodes. MPLS path allocation overlays an IP network, whose topology is created with IP [[routing protocols]]. The MPLS software determines whic ...back up multiple working paths. 1:N is much harder to implement in a ring topology than an arbitrary one.
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• Theoretical chemistry
  ...reas of study (e.g. for instance the possible application of principles of topology to the study of electronic structure.) The latter area of theoretical chem
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• Erik Christopher Zeeman
  ...[[United Kingdom|British]] [[mathematician]] known for work in [[geometric topology]] and [[singularity theory]]. Zeeman's main contribution to mathematics was in [[topology]], particularly in the [[piecewise linear]] category, and [[dynamical syste
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• Infiniband
  For HPC clusters, [[Fat Tree]] is the most common topology, but others use torus or mesh topologies, especially when interconnecting t
  4 KB (497 words) - 14:50, 28 July 2010
• Shortest path routing
  ...nodes. Also, as nodes are added, the number of failing links, changes in topology, and other events that trigger re-builds throughout the network - these eve ...very - minimize the time that routing tables are "out of sync" with actual topology<br>
  11 KB (1,749 words) - 10:42, 3 July 2022
• Space (mathematics)
  ...(0,1)</math> and the line <math>(-\infty,\infty)</math> are not. Geometric topology investigates [[Manifold (geometry)|manifolds]] (another "species" of this " ...s a linear topological space in the sense that it carries one and only one topology that makes it a linear topological space. The two structures, "finite-dimen
  28 KB (4,311 words) - 08:36, 14 October 2010
• Innexin
  ...ns and innexines/ pannexins have no sequence homology, they share the same topology. Both types of protein have two extracellular and one cytoplasmic loop with
  4 KB (616 words) - 19:05, 3 November 2007
• Real number
  ...it (mathematics)|limits]]. More technically, the reals are [[completeness (topology)|complete]] (in the sense of [[metric space]]s or [[uniform space]]s, which ...iform]] structure, and uniform structures have a notion of [[completeness (topology)]]; the description in the section '''Completeness''' above is a special ca
  19 KB (2,948 words) - 10:07, 28 February 2024
• Fundamental Theorem of Algebra
  ...on [[complex analysis]], but they require more [[algebra|algebraic]] or [[topology|topological]] machinery.
  5 KB (924 words) - 16:35, 11 December 2008
• Routing information base
  ...routes) to particular network destinations. This information contains the topology of the network immediately around it. The construction of routing tables i
  6 KB (958 words) - 16:23, 30 March 2024
• Module
  ...areas of mathematics that involve algebraic structures, such as algebraic topology, algebraic geometry, and algebraic number theory. A strong understanding o
  7 KB (1,154 words) - 02:39, 16 May 2009
• Biological networks/Bibliography
  ...ties of complex networks. Exploring several large databases describing the topology of large networks that span fields as diverse as the WWW or citation patter
  6 KB (899 words) - 18:05, 4 December 2011
• Skirt
  ...e 17th and 18th centuries<ref>There is a branch of [[geometry]] called ''[[topology]]'' which considers the basic forms of objects, reducing them to their simp
  6 KB (1,050 words) - 05:05, 8 June 2009
• IThena
  Historically, the predecessor of iThena is [[DIMES]]. DIMES analysed the topology of the Internet. [[AMPRNet#UCSD_Network_Telescope|CAIDA]] (Center for Appli
  7 KB (953 words) - 16:34, 9 September 2020
• Prokaryote phylogeny and evolution
  ...e case: gene trees will differ (although many will have regions of similar topology) ''and'' there would never have been a single cell that could be called the
  13 KB (2,052 words) - 06:27, 15 September 2013
• TELENET
  ...tables could not be altered separately from the main executable code, and topology updates had to be made by deliberately crashing the switch code and forcing
  6 KB (931 words) - 05:19, 31 May 2009
• Multihoming
  From an application standpoint, this is either a many-to-one topology, many clients to one server, or a many-to-many topology when multiple servers are
  24 KB (3,628 words) - 21:04, 17 April 2014
• Algebra
  ...tigated in the presence of a natural [[geometry|geometric]] structure (a [[topology]]) which is compatible with the algebraic structure. The list includes a nu ...n '*'" is already saying that the operation is closed. However, [[closure (topology)|closure]] is frequently emphasized repeating it as a group property.</smal
  18 KB (2,669 words) - 08:38, 17 April 2024
• Asymptotic gain model
  *The feedback topology (series-series, series-shunt, etc.) need not be identified beforehand as th ...r ''R_f'' is placed below the amplifier to resemble the standard topology.}}
  19 KB (3,224 words) - 09:47, 30 June 2011
• Thread (network protocol)
  * Topology: Mesh
  7 KB (1,122 words) - 07:28, 25 April 2023
• Peer-to-peer
  ...ications run over secure networks that still support the needed any-to-any topology.
  7 KB (1,095 words) - 20:05, 10 June 2010
• CZ Talk:Request Approved Article Copyedit/Archive 1
  ...%2FDraft&diff=100744018&oldid=100668279 Two typos] in the [[Neighbourhood (topology)]] article. [[User:John Stephenson|John Stephenson]] 14:44, 29 December 201
  10 KB (1,384 words) - 11:05, 26 November 2014
• Integer
  | [[Closure (topology)|closure]]: || ''a''&nbsp;+&nbsp;''b''&nbsp;&nbsp; is an integer || ''a''&n
  10 KB (1,566 words) - 08:34, 2 March 2024
• Parvovirus
  ...are predominantly VP-2. The central structural motif of VP-2 has the same topology (an eight-stranded antiparallel beta barrel) as has been found in many othe
  7 KB (1,155 words) - 00:59, 12 February 2010
• Open Shortest Path First
  ...ent types|link state advertisements (LSA)]], which describe aspects of the topology. There are eleven types of LSA, some of which are no longer used. ...update, and link state acknowledgement packets work together to propagate topology changes and keep the databases synchronized.
  23 KB (3,713 words) - 12:20, 30 March 2024
• MIL-STD-1553
  ...t MIL-STD-1553B revision level, is a standard interconnection Bus (network topology)|bus inside an airplane, vehicle, or ship. It is widely supported by commer
  9 KB (1,278 words) - 07:32, 18 March 2024
• Mathematics
  ...space. [[Lie group]]s are used to study space, structure, and change. [[Topology]] in all its many ramifications may have been the greatest growth area in 2 |[[Geometry]] || [[Trigonometry]] || [[Differential geometry]] || [[Topology]] || [[Fractal geometry]]
  30 KB (4,289 words) - 16:03, 20 January 2023
• Theory (mathematics)
  ...is kind). For example: Euclidean geometry is a theory of Euclidean spaces; topology is a theory of topological spaces; linear algebra is a theory of linear spa ...whatever; and all these are still a minority among all topological spaces. Topology is multivalent.
  34 KB (5,174 words) - 21:32, 25 October 2013
• Measure (mathematics)
  * The [[Haar measure]] for a [[topology glossary|locally compact]] [[topological group]] is a generalization of the
  14 KB (2,350 words) - 17:37, 10 November 2007
• Biological networks
  ...ections tying all the parts together into a whole entity with a particular topology (i.e., road map, or blueprint) made up of substructures of parts and module
  11 KB (1,641 words) - 20:57, 3 September 2018
• Set (mathematics)
  ...General topology |author=John L Kelley |url=http://www.amazon.com/General-Topology-Graduate-Texts-Mathematics/dp/0387901256/ref=sr_1_1?s=books&ie=UTF8&qid=130
  17 KB (2,828 words) - 10:37, 24 July 2011
• Archive:Monthly Write-a-Thon/March 4, 2009/Uncategorized
  *{{pl|Separability (topology)}}
  15 KB (1,521 words) - 09:02, 2 March 2024
• Computer network
  * [[Network topology]]: What do the overall connections in the network look like. This refers bo
  15 KB (2,278 words) - 05:21, 8 March 2024
• Geographic Information System
  ...holera cases in the London epidemic of 1854}}While the basic elements of [[topology]] and theme existed previously in [[cartography]], the John Snow map was un ...m that spanned the continent, coded lines as "arcs" having a true embedded topology, and it stored the attribute and locational information in separate files.
  41 KB (6,343 words) - 17:02, 22 March 2024
• Mathematical biology/Signed Articles/Biology's next microscope: Mathematics
  ===The enrichment of biology by mathematical progress in geometry, topology, algebra, and analysis=== ...has made amazing progress in each of its three major fields: geometry and topology, algebra, and analysis. This progress has enriched all the biological scie
  46 KB (6,635 words) - 13:25, 14 April 2021
• SCSI
  ...covery processes occur at power-on/initialization time and also if the bus topology changes later, for example if an extra device is added.
  17 KB (2,571 words) - 04:37, 2 March 2024
• Classical mechanics
  ...a physical system. Space has also quantum fluctuations of metrics and even topology. In such a way, a smooth and flat space and time, as used in classical mech
  27 KB (4,192 words) - 17:33, 19 August 2020
• Internet Protocol
  ...Asynchronous Transfer Mode]] (ATM), which may be set up as a hub-and-spoke topology , with only the hub available for broadcast if broadcast (or [[multicasting
  26 KB (4,062 words) - 15:00, 20 March 2024
• Brain
  ...y matter, or representations computed on the basis of these two [[surface (topology)|surfaces]].
  27 KB (3,997 words) - 10:27, 1 April 2024
• Science
  ...matics has applications, even "pure" areas such as [[number theory]] and [[topology]]. Mathematics is most prevalent in [[physics]], but less so in chemistry,
  30 KB (4,465 words) - 11:44, 2 February 2023
• The Elder Scrolls IV: Oblivion
  ...' also uses more multi-level environments than previous games, varying the topology to a greater extent than in ''Morrowind''. The game's view distance was gre
  33 KB (5,172 words) - 10:05, 14 February 2024
• DNA/Citable Version
  ...journal | author = Burge S ''et al.'' | title = Quadruplex DNA: sequence, topology and structure | url=http://www.pubmedcentral.nih.gov/articlerender.fcgi?too
  66 KB (9,714 words) - 18:35, 12 April 2018
• Chess
  ...he mathematical point of view. Many [[combinatorics|combinatorical]] and [[topology|topological]] problems connected with it were known already hundreds years
  64 KB (10,049 words) - 07:31, 20 April 2024
• Systems biology
  <blockquote>...the entire topology of the network is needed to impart…stability to one portion of the networ
  94 KB (13,588 words) - 18:21, 24 November 2013