{
  "id": "1208.0859",
  "version": "v2",
  "published": "2012-08-03T22:02:52.000Z",
  "updated": "2013-07-09T15:47:06.000Z",
  "title": "Rotation sets with nonempty interior and transitivity in the universal covering",
  "authors": [
    "Nancy Guelman",
    "Andres Koropecki",
    "Fabio Armando Tal"
  ],
  "comment": "11 pages, 4 figures. Incorporates referee's corrections. To appear in Ergod. Th. & Dynam. Syst",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $f$ be a transitive homeomorphism of the two-dimensional torus in the homotopy class of the identity. We show that a lift of $f$ to the universal covering is transitive if and only if the rotation set of the lift contains the origin in its interior.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-09T15:47:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E45",
      "37E30"
    ],
    "keywords": [
      "rotation set",
      "nonempty interior",
      "universal covering",
      "transitivity",
      "lift contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.0859G"
    }
  }
}