English Dictionary

Kolmogorov space

名詞

(topology) A topological space for which any pair of distinct points are also topologically distinct, i.e., there is an open set which contains one of the points but not the other one.

日本語の意味

任意の2点が明確に区別される、すなわち、ある一点のみを含む開集合が存在する位相空間（T0空間）

When teaching separation axioms, I told the students that a Kolmogorov space is the weakest condition that still allows us to separate distinct points by open sets.

分離公理を教えるとき、私は学生たちにコルモゴロフ空間（T0空間）が異なる点を開集合で識別できるという最も弱い条件であると説明しました。

意味（1）

(topology) A topological space for which any pair of distinct points are also topologically distinct, i.e., there is an open set which contains one of the points but not the other one.

The Kolmogorov quotient of any topological space is a Kolmogorov space.

Kolmogorov spaces （ plural ）