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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
• 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
• 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
• 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
• 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

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
• 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
• Network Topology
  #REDIRECT [[Network topology]]
  30 bytes (3 words) - 02:42, 1 April 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
• 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