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arXiv:1510.04184 [math.GR]AbstractReferencesReviewsResources

Finiteness of the topological rank of diffeomorphism groups

Azer Akhmedov

Published 2015-10-14Version 1

For a compact smooth manifold $M$ (with boundary) we prove that the topological rank of the diffeomorphism group Diff$_0^k(M)$ is finite for all $k\geq 1$. This extends a result from [2] where the same claim is proved in the special case of dim M = k = 1.

Categories: math.GR, math.DS, math.GT
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