{
  "id": "1402.0674",
  "version": "v1",
  "published": "2014-02-04T09:45:55.000Z",
  "updated": "2014-02-04T09:45:55.000Z",
  "title": "On homeomorphisms with the two-sided limit shadowing property",
  "authors": [
    "Bernardo Carvalho",
    "Dominik Kwietniak"
  ],
  "comment": "1 figure, comments are welcome!",
  "categories": [
    "math.DS",
    "math.GN"
  ],
  "abstract": "We prove that the two-sided limit shadowing property is among the strongest known notions of pseudo-orbit tracing. It implies shadowing, average shadowing, asymptotic average shadowing and specification properties. We also introduce a weaker notion that is called two-sided limit shadowing with a gap and prove that it implies shadowing and transitivity. We show that those two properties allow to characterize topological transitivity and mixing in a class of expansive homeomorphisms and hence they characterize transitive (mixing) shifts of finite type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-04T09:45:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D20",
      "37B10",
      "37B20"
    ],
    "keywords": [
      "two-sided limit shadowing property",
      "homeomorphisms",
      "implies shadowing",
      "average shadowing",
      "finite type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.0674C"
    }
  }
}