Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661307 | Topology and its Applications | 2007 | 4 Pages |
Abstract
A very short proof of the following smooth homogeneity theorem of D. Repovs, E.V. Shchepin and the author is presented. Let N be a locally compact subset of a smooth manifold M. Assume that for each two points x,y∈N there exists a diffeomorphism such that h(x)=y and h(N)=N. Then N is a smooth submanifold of M.
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Mathematics
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