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单词 MappingClassGroup
释义

mapping class group


Since the set of diffeomorphismsMathworldPlanetmath of a manifold which are diffeotopic (http://planetmath.org/Diffeotopy) to the identityPlanetmathPlanetmath is a normal subgroupMathworldPlanetmath of the group of all diffeomorphisms, we can form the quotient of the diffeomorphism group by this subgroupMathworldPlanetmathPlanetmath. This quotient is known as the mapping class groupPlanetmathPlanetmath.

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更新时间:2025/5/4 15:39:24