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单词 Contractible space
释义

Contractible space

英语百科

Contractible space

Illustration of some contractible and non-contractible spaces. Spaces A, B, and C are contractible; spaces D, E, and F are not.

In mathematics, a topological space X is contractible if the identity map on X is null-homotopic, i.e. if it is homotopic to some constant map. Intuitively, a contractible space is one that can be continuously shrunk to a point within that space.

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