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单词 Multiply Connected
释义

Multiply Connected

A set which is Connected but not Simply Connected is called multiply connected. A Spaceis -Multiply Connected if it is -connected and if every Map from the -Sphere into it extendscontinuously over the -Disk


A theorem of Whitehead says that a Space is infinitely connected Iff it is contractible.

See also Connectivity, Locally Pathwise-Connected Space,Pathwise-Connected, Simply Connected
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更新时间:2025/2/22 16:25:29