{
  "id": "1004.5270",
  "version": "v2",
  "published": "2010-04-29T13:18:50.000Z",
  "updated": "2010-09-10T13:23:22.000Z",
  "title": "There is no minimal action of Z^2 on the plane",
  "authors": [
    "Frédéric Le Roux"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper it is proved that there is no minimal action (i.e. every orbit is dense) of Z^2 on the plane. The proof uses the non-existence of minimal homeomorphisms on the infinite annulus (Le Calvez-Yoccoz's theorem), and the theory of Brouwer homeomorphisms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-10T13:23:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal action",
      "calvez-yoccozs theorem",
      "infinite annulus",
      "brouwer homeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.5270L"
    }
  }
}