{
  "id": "1811.11315",
  "version": "v1",
  "published": "2018-11-27T23:50:38.000Z",
  "updated": "2018-11-27T23:50:38.000Z",
  "title": "Homeomorphisms of surfaces of finite type",
  "authors": [
    "John Cantwell"
  ],
  "comment": "We give an alternate proof",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a proof of the Neilsen-Thurston classification theorem of a homeomorphism f of a standard surface of finite type as either periodic, pseudo-Anosov, or reducible. In the periodic case, we show that there exists an integer n>0 such that f is isotopic to h with h^n isotopic to the identity. This is the weaker version of the Nielsen-Thurston theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-27T23:50:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30"
    ],
    "keywords": [
      "finite type",
      "homeomorphism",
      "neilsen-thurston classification theorem",
      "weaker version",
      "periodic case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}