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bn:03324475n
Noun Concept
Categories: Properties of topological spaces, Separation axioms, Topology
EN
regular space  Extension by continuity  locally regular space  regular Hausdorff space  Regular topological space
EN
In topology and related fields of mathematics, a topological space X is called a regular space if every closed subset C of X and a point p not contained in C admit non-overlapping open neighborhoods. Wikipedia
Definitions
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Sources
EN
In topology and related fields of mathematics, a topological space X is called a regular space if every closed subset C of X and a point p not contained in C admit non-overlapping open neighborhoods. Wikipedia
topological space in which a point and a closed set are, if disjoint, separable by neighborhoods Wikidata
A Hausdorff space with the additional property that for every closed set of that space and every point disjoint from that set, there are a disjoint pair of open sets which contain the closed set and the point, respectively. Wiktionary
IS A
mathematical space
HAS KIND
Tychonoff space
pseudonormal space
Moore space
locally regular space
Wikipedia
EN
regular space
Wikidata
EN
regular space
Wiktionary
EN
regular space
Wikipedia Redirections
EN
Extension by continuity, locally regular space, regular Hausdorff space, Regular topological space, T3-separation axiom, T3-space, T3 space, T₃ space
Wikidata Alias
EN
T3 space, T₃ space

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