homeomorphism

noun

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

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For topological manifolds, the relevant standard is called a homeomorphism. Quanta Magazine, 28 Sep. 2021

Word History

Etymology

International Scientific Vocabulary

First Known Use

1854, in the meaning defined above

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 10 Sep. 2025.

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