{
  "id": "1611.05498",
  "version": "v1",
  "published": "2016-11-16T23:25:22.000Z",
  "updated": "2016-11-16T23:25:22.000Z",
  "title": "The Franks-Misiurewicz conjecture for extensions of irrational rotations",
  "authors": [
    "Andres Koropecki",
    "Alejandro Passeggi",
    "Martín Sambarino"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that a toral homeomorphism which is homotopic to the identity and topologically semiconjugate to an irrational rotation of the circle is always a pseudo-rotation (i.e. its rotation set is a single point). In combination with recent results, this allows us to complete the study of the Franks-Misiurewicz conjecture in the minimal case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-16T23:25:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E45",
      "37E30"
    ],
    "keywords": [
      "irrational rotation",
      "franks-misiurewicz conjecture",
      "extensions",
      "toral homeomorphism",
      "rotation set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}