(Q1193403)

English

regular space

topological space in which a point and a closed set are, if disjoint, separable by neighborhoods

T3 space
T₃ space

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subclass of

topological space

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defining formula

\forall x\in X\forall C\in \operatorname {Open} (X)\left(x\not \in X\setminus C\implies \exists U,V\in \operatorname {Open} (X)\colon \left(x\in U\land X\setminus C\subseteq V\land U\cap V=\varnothing \right)\right)

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maintained by WikiProject

WikiProject Mathematics

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schematic

Regular space.svg
1,200 × 600; 941 bytes

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Identifiers

1 reference

28 October 2013

RegularTopologicalSpace

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9 July 2020

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Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

ProofWiki ID

Definition:T3_Space

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Treccani's Enciclopedia della Matematica ID

spazio-topologico-regolare

subject named as

spazio topologico regolare

publication date

2013

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(Q1193403)

regular space

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