{
  "id": "1605.08731",
  "version": "v1",
  "published": "2016-05-27T18:06:34.000Z",
  "updated": "2016-05-27T18:06:34.000Z",
  "title": "An elementary proof of a Theorem by Matsumoto",
  "authors": [
    "Luis Hernandez-Corbato"
  ],
  "comment": "7 pages, 2 figures. Final version to appear in Nagoya Math. J",
  "categories": [
    "math.DS"
  ],
  "abstract": "Matsumoto proved in arXiv:1012.0981 that the prime end rotation numbers associated to an invariant annular continuum are contained in its rotation set. An alternative proof of this fact using only simple planar topology is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-27T18:06:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elementary proof",
      "prime end rotation numbers",
      "invariant annular continuum",
      "simple planar topology",
      "rotation set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}