{
  "id": "1605.08718",
  "version": "v1",
  "published": "2016-05-27T17:20:41.000Z",
  "updated": "2016-05-27T17:20:41.000Z",
  "title": "Indices of fixed points not accumulated by periodic points",
  "authors": [
    "Luis Hernandez-Corbato"
  ],
  "comment": "11 pages, 2 figures. Final version to appear in Topol. Methods Nonlinear Anal",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that for every integer sequence $I$ satisfying Dold relations there exists a map $f : \\mathbb{R}^d \\to \\mathbb{R}^d$, $d \\ge 2$, such that $\\mathrm{Per(f)} = \\mathrm{Fix(f)} = \\{o\\}$, where $o$ denotes the origin, and $(i(f^n, o))_n = I$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-27T17:20:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic points",
      "fixed points",
      "integer sequence",
      "satisfying dold relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}