{
  "id": "0809.1193",
  "version": "v1",
  "published": "2008-09-06T21:43:28.000Z",
  "updated": "2008-09-06T21:43:28.000Z",
  "title": "Monotone images of Cremer Julia sets",
  "authors": [
    "A. Blokh",
    "L. Oversteegen"
  ],
  "comment": "11 pages",
  "journal": "Houston Journal of Mathematics, 36 (2010), 469--476",
  "categories": [
    "math.DS",
    "math.GT"
  ],
  "abstract": "We show that if $P$ is a quadratic polynomial with a fixed Cremer point and Julia set $J$, then for any monotone map $\\ph:J\\to A$ from $J$ onto a locally connected continuum $A$, $A$ is a single point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-06T21:43:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B45",
      "37F10",
      "37F20"
    ],
    "keywords": [
      "cremer julia sets",
      "monotone images",
      "single point",
      "monotone map",
      "quadratic polynomial"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.1193B"
    }
  }
}