Concept information
Preferred term
homeomorphism
Definition
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In the mathematical field of topology, a homeomorphism (from Greek ὅμοιος (homoios) 'similar, same', and μορφή (morphē) 'shape, form', named by Henri Poincaré), also called topological isomorphism, or bicontinuous function, is a bijective and continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are the mappings that preserve all the topological properties of a given space. Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Homeomorphism)
Broader concept
Entry terms
- bicontinuous function
- topological isomorphism
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-C6151GNZ-W
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