{
  "id": "math/0211069",
  "version": "v1",
  "published": "2002-11-04T20:22:46.000Z",
  "updated": "2002-11-04T20:22:46.000Z",
  "title": "Universal spaces for asymptotic dimension",
  "authors": [
    "A. Dranishnikov",
    "M. Zarichnyi"
  ],
  "comment": "24 pages, 1 figure",
  "categories": [
    "math.GT",
    "math.GN"
  ],
  "abstract": "We construct a universal space for the class of proper metric spaces of bounded geometry and of given asymptotic dimension. As a consequence of this result, we establish coincidence of the asymptotic dimension with the asymptotic inductive dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-04T20:22:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F45"
    ],
    "keywords": [
      "asymptotic dimension",
      "universal space",
      "proper metric spaces",
      "asymptotic inductive dimensions",
      "bounded geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11069D"
    }
  }
}