Last Updated :2025/11/28

path-connected

Adjective
not-comparable of a topological space
Japanese Meaning
位相空間において、任意の2点間が連続な経路を介して結ばれる性質があること。 / 位相空間内の任意の2点が、両端点となる連続写像された経路で結ばれる性質を持つこと。
What is this buttons?

任意の2点が連続な経路で結ばれる位相空間は、任意の点対をそのような経路で結べることを保証し、それらの間のホモトピーの構成を容易にした。

Quizzes for review

(of a topological space) Such that every pair of points in the space comprises the boundary of some path mapped to the space continuously.

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path-connected

The path-connected topological space guaranteed that any two points could be joined by a continuous path, which simplified constructing homotopies between them.

See correct answer

The path-connected topological space guaranteed that any two points could be joined by a continuous path, which simplified constructing homotopies between them.

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