{
  "id": "math/0610453",
  "version": "v2",
  "published": "2006-10-15T13:46:05.000Z",
  "updated": "2007-03-16T10:38:12.000Z",
  "title": "On a question of Eremenko concerning escaping components of entire functions",
  "authors": [
    "Lasse Rempe"
  ],
  "comment": "7 pages; 1 figure. V2: Final version (some minor changes)",
  "journal": "Bull. London Math. Soc. 39 (2007), no. 4, 661 - 666",
  "doi": "10.1112/blms/bdm053",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Let f be an entire function with a bounded set of singular values, and suppose furthermore that the postsingular set of f is bounded. We show that every component of the escaping set I(f) is unbounded. This provides a partial answer to a question of Eremenko.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-16T10:38:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "30D05"
    ],
    "keywords": [
      "eremenko concerning escaping components",
      "entire function",
      "singular values",
      "postsingular set",
      "partial answer"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10453R"
    }
  }
}