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Homeomorphism Class


On the class of topological spaces, a homeomorphism class is an equivalence class under the relation of being homeomorphic. For example, the open interval (-pi/2,pi/2) and the space of real numbers R, both with their usual topology, are in the same homeomorphism class, as the map

 tan:(-pi/2,pi/2)->R.

See also

Homeomorphism

This entry contributed by Rasmus Hedegaard

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Hedegaard, Rasmus. "Homeomorphism Class." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/HomeomorphismClass.html

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