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

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

Other Words from homeomorphism

homeomorphic \ ˌhō-​mē-​ə-​ˈmȯr-​fik How to pronounce homeomorphism (audio) \ 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 example sentences are selected automatically from various online news sources to reflect current usage of the word 'homeomorphism.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of homeomorphism

1854, in the meaning defined above

History and Etymology for homeomorphism

International Scientific Vocabulary

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Time Traveler for homeomorphism

Time Traveler

The first known use of homeomorphism was in 1854

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Cite this Entry

“Homeomorphism.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/homeomorphism. Accessed 8 Aug. 2022.

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More from Merriam-Webster on homeomorphism

Britannica.com: Encyclopedia article about homeomorphism


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