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Homeomorphism Group


The homeomorphism group of a topological space X is the set of all homeomorphisms f:X->X, which forms a group by composition.


See also

Group, Topological Space

This entry contributed by Todd Rowland

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Cite this as:

Weisstein, Eric W., with contributions by Todd Rowland. "Homeomorphism Group." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HomeomorphismGroup.html

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