English

Finiteness of the topological rank of diffeomorphism groups

Group Theory 2015-10-16 v2 Dynamical Systems Geometric Topology

Abstract

For a compact smooth manifold MM (with boundary) we prove that the topological rank of the diffeomorphism group Diff0k(M)_0^k(M) is finite for all k1k\geq 1. This extends a result from [2] where the same claim is proved in the special case of dim M = k = 1.

Keywords

Cite

@article{arxiv.1510.04184,
  title  = {Finiteness of the topological rank of diffeomorphism groups},
  author = {Azer Akhmedov},
  journal= {arXiv preprint arXiv:1510.04184},
  year   = {2015}
}

Comments

several typing errors corrected, a short paragraph re-written