Simply connected space

This set is not simply connected because it has three holes.

A torus is not simply connected. Neither of the colored loops can be contracted to a point without leaving the surface.

In topology, a topological space is called simply-connected (or 1-connected) if it is path-connected and every path between two points can be continuously transformed, staying within the space, into any other such path while preserving the two endpoints in question (see below for an informal discussion).

单词	Simply Connected
释义	Simply Connected 原声例句 Oxford Online English / IELTS Exam Lessons For grammar, we simply connected two sentences with the conjunction while. 对于语法，我们简单地用连词while连接两个句子。英语百科 Simply connected space In topology, a topological space is called simply-connected (or 1-connected) if it is path-connected and every path between two points can be continuously transformed, staying within the space, into any other such path while preserving the two endpoints in question (see below for an informal discussion).
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Simply Connected

Simply connected space