{
  "id": "math/0607376",
  "version": "v1",
  "published": "2006-07-16T20:29:21.000Z",
  "updated": "2006-07-16T20:29:21.000Z",
  "title": "Asymptotic dimension and uniform embeddings",
  "authors": [
    "S. R. Gal"
  ],
  "comment": "17 pages, no figures",
  "journal": "Groups Geom. Dyn. 2 (2008), no. 1, 63-84",
  "doi": "10.4171/GGD/31",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We show that the type function of a space with finite asymptotic dimension estimates its Hilbert (or any $l^p$) compression. The method allows to obtain the lower bound of the compression of the lamplighter group $Z\\wr Z$, which has infinite asymptotic dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-16T20:29:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F69",
      "20F65",
      "20H15",
      "20E22",
      "54F45",
      "51F99"
    ],
    "keywords": [
      "uniform embeddings",
      "finite asymptotic dimension estimates",
      "infinite asymptotic dimension",
      "type function",
      "compression"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7376G"
    }
  }
}