Last Updated
：2025/11/26
regular space
Noun
Japanese Meaning
正則空間：位相空間の一種で、ハウスドルフ性（T2性）を満たし、任意の閉集合とその閉集合に属さない点について、それぞれを含む交わらない開集合が存在する空間。
（ plural ）
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(topology) 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.
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regular space
In many proofs in point-set topology, constructing a continuous function that separates a closed set and a point often relies on the space being a regular space.
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In many proofs in point-set topology, constructing a continuous function that separates a closed set and a point often relies on the space being a regular space.
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