homeomorphism
noun
ho·meo·mor·phism
ˌhō-mē-ə-ˈmȯr-ˌfi-zəm 
: 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
Examples of homeomorphism in a Sentence
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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.
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Quanta Magazine, 28 Sep. 2021
For topological manifolds, the relevant standard is called a homeomorphism.
—Quanta Magazine, 28 Sep. 2021
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
Etymology
International Scientific Vocabulary
First Known Use
1854, in the meaning defined above
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“Homeomorphism.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/homeomorphism. Accessed 3 Oct. 2023.
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More from Merriam-Webster on homeomorphism
Britannica.com: Encyclopedia article about homeomorphism
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