homeomorphism

noun

ho·meo·mor·phism | \ ˌhō-mē-ə-ˈmȯr-ˌfi-zəm

Definition of homeomorphism

: a function that is a one-to-one mapping between sets such that both the function and its inverse are continuous and that in topology exists for geometric figures which can be transformed one into the other by an elastic deformation

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Examples of homeomorphism in a Sentence

Recent Examples on the Web This is an even stronger statement than the one Freedman proved — since a diffeomorphism is a stronger form of equivalence than a homeomorphism — and one that mathematicians today have no idea how to settle. — Quanta Magazine, 28 Sep. 2021 For topological manifolds, the relevant standard is called a homeomorphism. — Quanta Magazine, 28 Sep. 2021

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