Diffeomorphism groups of a manifold with boundary
It is observed that the identity component of some diffeomorphism groups on a manifold with boundary is perfect. We show also that a theorem of Filipkiewicz still holds in case of a manifold with boundary, that is, that the group of all diffeomorphisms on a manifold with boundary defines uniquely the topological and smooth structure of the manifold itself.
Keywordsmanifold with boundary diffeomorphism group perfect group isomorphism of groups inner automorphism
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