homeomorphism

noun
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

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

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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 16 Jun. 2021.

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More from Merriam-Webster on homeomorphism

Britannica.com: Encyclopedia article about homeomorphism

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