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• Topological space
  In [[mathematics]], a '''topological space''' is an [[ordered pair]] <math>(X,\mathcal T)</math> where <math>X</math> A topological space is an ordered pair <math>(X,\mathcal T)</math> where <math>X</math> is a se
  15 KB (2,586 words) - 16:07, 4 January 2013
• Topological Space
  #REDIRECT [[Topological space]]
  31 bytes (3 words) - 09:46, 5 December 2007
• Topological space/Approval
  12 bytes (1 word) - 02:14, 14 October 2007
• Topological space/Bibliography
  804 bytes (100 words) - 02:27, 1 November 2008
• Topological space/Definition
  141 bytes (19 words) - 17:39, 17 June 2009
• Topological space/Related Articles
  959 bytes (152 words) - 15:06, 28 July 2009

Page text matches

• Open cover
  #REDIRECT [[Topological space#Some topological notions]]
  56 bytes (6 words) - 07:03, 29 December 2008
• Indiscrete space
  In [[topology]], an '''indiscrete space''' is a [[topological space]] with the '''indiscrete topology''', in which the only open [[subset]]s ar * Every map from a topological space to an indiscrete space is [[continuous map|continuous]].
  766 bytes (106 words) - 16:04, 4 January 2013
• Space (mathematics)/Related Articles
  {{r|Topological space}}
  359 bytes (48 words) - 15:04, 28 July 2009
• Countability axioms in topology/Definition
  Properties that a topological space may satisfy which refer to the countability of certain structures within th
  155 bytes (21 words) - 01:18, 18 February 2009
• Dense subset/Definition
  In a [[topological space]], a subset whose [[closure]] (i.e., all boundary points added) is the whol
  145 bytes (21 words) - 17:34, 24 August 2009
• Discrete space
  In [[topology]], a '''discrete space''' is a [[topological space]] with the '''discrete topology''', in which every [[subset]] is open. * Every map from a discrete space to a topological space is [[continuous map|continuous]].
  872 bytes (125 words) - 15:57, 4 January 2013
• Topological Space
  #REDIRECT [[Topological space]]
  31 bytes (3 words) - 09:46, 5 December 2007
• Compactification/Definition
  A compact space in which a given topological space can be embedded as a dense subset.
  121 bytes (19 words) - 17:30, 5 January 2009
• Indiscrete space/Definition
  <noinclude>{{Subpages}}</noinclude>A topological space in which the only open subsets are the empty set and the space itself
  124 bytes (20 words) - 15:59, 4 January 2013
• Ringed space
  A '''ringed space''' is a topological space <math>X</math> together with a sheaf of rings <math>F</math>.
  118 bytes (20 words) - 21:49, 22 January 2008
• First category space/Definition
  A topological space which is a countable union of nowhere dense subsets; a meagre space.
  124 bytes (18 words) - 16:22, 3 January 2009
• Homeomorphism
  ...hich are also "distant". In [[differential geometry]], this means that one topological space can be deformed into the other by "bending" and "stretching".
  2 KB (265 words) - 07:44, 4 January 2009
• Homotopy/Definition
  Two continuous deformed functions from one topological space into another.
  111 bytes (13 words) - 08:48, 4 September 2009
• Door space/Definition
  A topological space in which each subset is open or closed.
  95 bytes (14 words) - 07:57, 28 December 2008
• Metric space/Definition
  Any topological space which has a metric defined on it.
  92 bytes (13 words) - 09:56, 4 September 2009
• Dowker space/Definition
  A topological space that is T4 but not countably paracompact.
  97 bytes (13 words) - 14:53, 29 October 2008
• Nowhere dense set
  In [[general topology]], a '''nowhere dense set''' in a topological space is a set whose [[closure (topology)|closure]] has empty [[interior (topolog ...is a [[countability|countable]] [[union]] of nowhere dense sets: any other topological space is of '''second category'''. The ''[[Baire category theorem]]'' states tha
  850 bytes (118 words) - 22:30, 20 February 2010
• Noetherian space/Definition
  A topological space in which closed subsets satisfy the descending chain condition.
  120 bytes (15 words) - 10:15, 4 September 2009
• 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
• Second category space/Definition
  A topological space which is not the countable union of nowhere dense subsets; a space which is
  154 bytes (24 words) - 16:23, 3 January 2009