HOMEOMORPHISM

Homeomorphism

In the mathematical field of topology, a homeomorphism or topological isomorphism or bicontinuous function is a 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. The word homeomorphism comes from the Greek words ὅμοιος = similar and μορφή = shape, form.

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homeomorphism

Noun

  1. a continuous bijection from one topological space to another, with continuous inverse.
  2. a similarity in the crystal structure of unrelated compounds


The above text is a snippet from Wiktionary: homeomorphism
and as such is available under the Creative Commons Attribution/Share-Alike License.

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