{
  "id": "1803.04598",
  "version": "v1",
  "published": "2018-03-13T02:16:42.000Z",
  "updated": "2018-03-13T02:16:42.000Z",
  "title": "A complementary proof of Baker's theorem of completely invariant components for transcendental entire functions",
  "authors": [
    "Patricia Domínguez",
    "Guillermo Sienra"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Baker proved that for transcendental entire functions there is at most one completely invariant component of the Fatou set. It was observed by Julien Duval that there is a missing case in Baker's proof. In this article we follow Baker's ideas and give some alternative arguments to establish the result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-13T02:16:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D05",
      "37F45"
    ],
    "keywords": [
      "transcendental entire functions",
      "invariant component",
      "bakers theorem",
      "complementary proof",
      "fatou set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}