Last Updated：2025/11/26

Dictionary quizzes to help you remember vocabulary

(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.

音声機能が動作しない場合はこちらをご確認ください

See correct answer

Kolmogorov space

Edit Histories（0）

Source Word

Kolmogorov space

Noun

(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.

Japanese Meaning

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）

What is this buttons?

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.

Google Translation / DeepL Translation

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。

Details

Sense（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.