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What does SIMPLY CONNECTED SPACE stand for?
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What does SIMPLY CONNECTED SPACE mean?
- Simply connected space
- In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points can be continuously transformed (intuitively for embedded spaces, staying within the space) into any other such path while preserving the two endpoints in question. The fundamental group of a topological space is an indicator of the failure for the space to be simply connected: a path-connected topological space is simply connected if and only if its fundamental group is trivial.
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"SIMPLY CONNECTED SPACE." Abbreviations.com. STANDS4 LLC, 2024. Web. 9 May 2024. <https://www.abbreviations.com/SIMPLY%20CONNECTED%20SPACE>.
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