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
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For topological manifolds, the relevant standard is called a homeomorphism.
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Quanta Magazine, 28 Sep. 2021
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Quanta Magazine, 28 Sep. 2021
Cite this Entry
“Homeomorphism.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/homeomorphism. Accessed 18 Sep. 2025.
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