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单词 Simply Connected
释义

Simply Connected

A Connected Domain is said to be simply connected (also called 1-connected) if any simpleclosed curve can be shrunk to a point continuously in the set. If the domain is Connected but notsimply, it is said to be Multiply Connected.


A Space is simply connected if it is 0-connected and if every Map from the 1-Sphere to extendscontinuously to a Map from the 2-Disk. In other words, every loop in the Space is contractible.

See also Connected Space, Multiply Connected
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更新时间:2024/11/15 1:52:22