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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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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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Related words
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。
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