{
  "id": "1105.2946",
  "version": "v3",
  "published": "2011-05-15T13:41:23.000Z",
  "updated": "2011-07-11T13:48:05.000Z",
  "title": "A dichotomy for expansions of the real field",
  "authors": [
    "Antongiulio Fornasiero",
    "Philipp Hieronymi",
    "Chris Miller"
  ],
  "journal": "Proc. Amer. Math. Soc. 141 (2013) 697-698",
  "categories": [
    "math.LO"
  ],
  "abstract": "A dichotomy for expansions of the real field is established: Either the set of integers is definable or every nonempty bounded nowhere dense definable subset of the real numbers has Minkowski dimension zero.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-07-11T13:48:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C64",
      "05B10",
      "28A75"
    ],
    "keywords": [
      "real field",
      "expansions",
      "minkowski dimension zero",
      "dense definable subset"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2946F"
    }
  }
}