Finiteness of the topological rank of diffeomorphism groups

Azer Akhmedov

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arXiv · 1510.04184

Finiteness of the topological rank of diffeomorphism groups

Azer Akhmedov

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Abstract

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.

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BibTeX RIS

Azer Akhmedov. 2015-10-15. Finiteness of the topological rank of diffeomorphism groups. https://arxiv.org/abs/1510.04184

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