Commutators of Homeomorphisms of a Manifold
نویسنده
چکیده
It is shown that the identity component of the group of all homeo-morphisms of a manifold with boundary is perfect, i.e. equal to its commutator subgroup. Diierences between homeomorphism and diieomorphism groups are exhibited.
منابع مشابه
On closed subgroups of the group of homeomorphisms of a manifold
Let M be a triangulable compact manifold. We prove that, among closed subgroups of Homeo0(M) (the identity component of the group of homeomorphisms of M), the subgroup consisting of volume preserving elements is maximal. AMS classification. 57S05 (57M60, 37E30).
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