Last Updated：2025/11/21

(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.

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

connected space

Source Word

connected space

Noun

(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.

Japanese Meaning

連結空間：数学において、非空な開集合の互いに交わらない分離可能な部分集合に分解することができないトポロジカル空間。

The proof uses the fact that every continuous image of a connected space is connected.

この証明は、連続写像の像が連結空間であれば連結であるという事実を利用している。

Sense（1）

(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.

connected spaces

（ plural ）