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  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Topology/External Links
    * [http://www.dmoz.org/Science/Math/Topology/ Open Directory - Topology]
    85 bytes (12 words) - 14:25, 29 December 2008
  • Interior (disambiguation)
    {{r|Interior (topology)}}
    39 bytes (4 words) - 11:08, 31 May 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
  • 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)}}
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  • Spherical harmonics/Definition
    ...ctions that can be used to describe the boundary of objects with spherical topology.
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  • 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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  • Quotient topology/Definition
    The finest topology on the image set that makes a surjective map from a topological space conti
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  • Étale morphism/Definition
    ...raic analogue of the notion of a local isomorphism in the complex analytic topology.
    129 bytes (18 words) - 06:39, 4 September 2009
  • 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]].
    113 bytes (18 words) - 18:42, 30 September 2009
  • 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
    {{r|Topology}} {{r|Spherical topology}}
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  • G-delta set
    In [[general topology]], a '''G<sub>δ</sub> 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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  • Topology/Related Articles
    {{r|Algebraic topology}} {{r|General topology}}
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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)}}
    151 bytes (17 words) - 05:13, 26 September 2013
  • 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''<sup>''F''(''X'')</sup> be the [[Cartesian power]] with the [[product topology]]. The evaluation map ''e'' maps ''X'' to ''I''<sup>''F''(''X'')</sup>,reg
    2 KB (350 words) - 00:48, 18 February 2009
  • Brain morphometry/Related Articles
    {{r|Topology}} {{r|Spherical topology}}
    2 KB (281 words) - 10:43, 20 February 2024
  • 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==
    3 KB (511 words) - 00:25, 20 February 2010
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