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- A topological space with a countable dense subset.86 bytes (11 words) - 17:52, 1 December 2008
- A topological space in which every sequence has a convergent subsequence.109 bytes (14 words) - 16:58, 30 October 2008
- A set in a topological space whose closure has empty interior.98 bytes (14 words) - 02:35, 29 December 2008
- #REDIRECT [[Topological space#Bases and sub-bases]]51 bytes (6 words) - 02:30, 27 November 2008
- #REDIRECT [[Topological space#Bases and sub-bases]]51 bytes (6 words) - 02:31, 27 November 2008
- A topological space in which every irreducible closed set has a unique generic point.121 bytes (17 words) - 12:25, 31 December 2008
- A topological space in which there is no non-trivial subset which is both open and closed.126 bytes (19 words) - 17:26, 8 December 2008
- A property that describes how good points in a topological space can be distinguished.122 bytes (17 words) - 17:30, 17 June 2009
- Function on a directed set into a topological space which generalises the notion of sequence.130 bytes (18 words) - 10:10, 4 September 2009
- Axioms for a topological space which specify how well separated points and closed sets are by open sets.140 bytes (21 words) - 07:15, 2 November 2008
- In [[general topology]], a '''G<sub>δ</sub> set''' is a [[subset]] of a [[topological space]] which is a [[countability|countable]] [[intersection]] of [[open set]]s. A '''G<sub>δ</sub> space''' is a topological space in which every closed set is a G<sub>δ</sub> set. A [[normal space]] whic1 KB (227 words) - 17:00, 19 August 2024
- Topological space with additional structure which is used to define uniform properties such a189 bytes (23 words) - 20:36, 4 September 2009
- An assignment of open sets to a subset of a topological space.99 bytes (15 words) - 19:58, 4 September 2009
- The union of all open sets contained within a given subset of a topological space.118 bytes (18 words) - 16:26, 27 December 2008
- The finest topology on the image set that makes a surjective map from a topological space continuous.137 bytes (20 words) - 11:53, 31 December 2008
- A set that belongs to the σ-algebra generated by the open sets of a topological space.123 bytes (19 words) - 18:52, 24 June 2008
- ...to the [[sigma algebra|σ-algebra]] generated by the open sets of a [[topological space]]. Thus, every open set is a Borel set, as are countable unions of open set ...math>O</math> are the open sets of <math>X</math> (or, equivalently, the [[topological space|topology]] of <math>X</math>). Then <math>A \subset X </math> is a Borel se1,012 bytes (172 words) - 12:01, 20 July 2024
- For a topological space this generalises the notion of "point at infinity" of the real line or plan137 bytes (21 words) - 01:09, 19 February 2009
- The Cantor set may be considered a [[topological space]], [[homeomorphism|homeomorphic]] to a product of [[countable set|countably As a topological space, the Cantor set is [[uncountable set|uncountable]], [[compact space|compact2 KB (310 words) - 17:00, 24 July 2024
- ...bsolute G<sub>δ</sub>'', that is, a [[G-delta set|G<sub>δ</sub>]] in every topological space in which it can be embedded.3 KB (445 words) - 12:01, 31 July 2024