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单词 homeomorphism
释义

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
ˌhō-mē-ə-ˈmȯr-fik How to pronounce homeomorphism (audio)
adjective

Example Sentences

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

Word History

Etymology

International Scientific Vocabulary

First Known Use

1854, in the meaning defined above

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更新时间:2025/2/24 14:31:46