{
  "id": "1205.0191",
  "version": "v1",
  "published": "2012-05-01T15:36:26.000Z",
  "updated": "2012-05-01T15:36:26.000Z",
  "title": "The omega-limit sets of quadratic Julia sets",
  "authors": [
    "Andrew Barwell",
    "Brian Raines"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we characterize $\\w$-limit sets of dendritic Julia sets for quadratic maps. We use Baldwin's symbolic representation of these spaces as a non-Hausdorff itinerary space and prove that quadratic maps with dendritic Julia sets have shadowing, and also that for all such maps, a closed invariant set is an $\\w$-limit set of a point if, and only if, it is internally chain transitive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-01T15:36:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic julia sets",
      "omega-limit sets",
      "dendritic julia sets",
      "quadratic maps",
      "non-hausdorff itinerary space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0191B"
    }
  }
}