ho·​meo·​mor·​phism ˌhō-mē-ə-ˈmȯr-ˌfi-zəm How to pronounce homeomorphism (audio)
: 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
homeomorphic adjective

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

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'homeomorphism.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History


International Scientific Vocabulary

First Known Use

1854, in the meaning defined above

Time Traveler
The first known use of homeomorphism was in 1854

Dictionary Entries Near homeomorphism

Cite this Entry

“Homeomorphism.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/homeomorphism. Accessed 3 Oct. 2023.

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