{
  "id": "1101.1348",
  "version": "v5",
  "published": "2011-01-07T03:36:14.000Z",
  "updated": "2011-01-28T02:07:14.000Z",
  "title": "Homoclinic classes with shadowing property",
  "authors": [
    "Mansoeb Lee"
  ],
  "comment": "8 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that for $C^1$ generic diffeomorphisms, an isolated homoclinic class is shadowable if and only if homoclinic class is hyperbolic basic set.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2011-01-28T02:07:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C20",
      "37C05",
      "37C29",
      "37D05"
    ],
    "keywords": [
      "homoclinic classes",
      "shadowing property",
      "hyperbolic basic set",
      "generic diffeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.1348L"
    }
  }
}