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单词 Isotopy
释义

isotopy


Let M and N be manifolds and I=[0,1] the closed unit interval. A smooth map h:M×IN is called an isotopy if the restrictionPlanetmathPlanetmathPlanetmath map ht:=h(-,t):MN is an embeddingPlanetmathPlanetmath for all tI.

In particular, a diffeotopy is an isotopy.

Remark. Given an isotopy h:M×IN, there exists a diffeotopy g:N×IN such that ht=gth0.

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更新时间:2025/5/4 8:17:22