{
  "id": "1010.3535",
  "version": "v1",
  "published": "2010-10-18T09:55:35.000Z",
  "updated": "2010-10-18T09:55:35.000Z",
  "title": "On isotopy and unimodal inverse limit spaces",
  "authors": [
    "Henk Bruin",
    "Sonja Stimac"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that every self-homeomorphism $h : K_s \\to K_s$ on the inverse limit space $K_s$ of tent map $T_s$ with slope $s \\in (\\sqrt 2, 2]$ is isotopic to a power of the shift-homeomorphism $\\sigma^R : K_s \\to K_s$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-18T09:55:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unimodal inverse limit spaces",
      "tent map",
      "self-homeomorphism",
      "shift-homeomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.3535B"
    }
  }
}