{
  "id": "1510.04184",
  "version": "v1",
  "published": "2015-10-14T16:14:53.000Z",
  "updated": "2015-10-14T16:14:53.000Z",
  "title": "Finiteness of the topological rank of diffeomorphism groups",
  "authors": [
    "Azer Akhmedov"
  ],
  "categories": [
    "math.GR",
    "math.DS",
    "math.GT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-14T16:14:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological rank",
      "finiteness",
      "compact smooth manifold",
      "diffeomorphism group diff",
      "special case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151004184A"
    }
  }
}