{
  "id": "1905.02740",
  "version": "v1",
  "published": "2019-05-07T18:03:06.000Z",
  "updated": "2019-05-07T18:03:06.000Z",
  "title": "Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property",
  "authors": [
    "Tullio Ceccherini-Silberstein",
    "Michel Coornaert"
  ],
  "comment": "34 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that every expansive continuous action with the weak specification property of an amenable group $G$ on a compact Hausdorff space $X$ has the Myhill property, i.e., every pre-injective continuous self-mapping of $X$ commuting with the action of $G$ on $X$ is surjective. This extends a result previously obtained by Hanfeng Li in the case when $X$ is metrizable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-07T18:03:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54E15",
      "37B05",
      "37B10",
      "37B15",
      "37B40",
      "43A07",
      "68Q80"
    ],
    "keywords": [
      "myhill property",
      "uniform spaces",
      "topological entropy",
      "expansive actions",
      "weak specification property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}