English Dictionary

normal space

名詞

(topology) A regular space with the additional property that for every disjoint pair of closed sets in that space, there is a disjoint pair of open sets which contain the closed sets, respectively.

日本語の意味

位相空間論における『正規空間』とは、正則空間の条件を満たしており、さらに任意の互いに交わらない2つの閉集合に対して、それぞれの閉集合を含む互いに交わらない開集合が存在する空間を指す。

In many proofs, mathematicians use a normal space to separate disjoint closed sets by disjoint open neighborhoods.

多くの証明において、数学者は互いに交わらない閉集合を互いに交わらない開近傍で分離するために正規空間を用いる。

意味（1）

(topology) A regular space with the additional property that for every disjoint pair of closed sets in that space, there is a disjoint pair of open sets which contain the closed sets, respectively.

normal spaces （ plural ）