{
  "id": "math/0506547",
  "version": "v3",
  "published": "2005-06-27T16:42:41.000Z",
  "updated": "2005-09-15T14:00:38.000Z",
  "title": "Coarse dimensions and partitions of unity",
  "authors": [
    "N. Brodskiy",
    "J. Dydak"
  ],
  "comment": "23 pages",
  "journal": "Rev. R. Acad. Cien. Serie A. Mat. 102 (1), 2008, pp. 1-19",
  "categories": [
    "math.GT",
    "math.GN"
  ],
  "abstract": "Gromov \\cite{Gr$_1$} and Dranishnikov \\cite{Dr$_1$} introduced asymptotic and coarse dimensions of proper metric spaces via quite different ways. We define coarse and asymptotic dimension of all metric spaces in a unified manner and we investigate relationships between them generalizing results of Dranishnikov \\cite{Dr$_1$} and Dranishnikov-Keesling-Uspienskij \\cite{DKU}.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-09-15T14:00:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F45",
      "54C55",
      "54E35",
      "18B30",
      "54D35",
      "54D40",
      "20H15"
    ],
    "keywords": [
      "coarse dimensions",
      "partitions",
      "proper metric spaces",
      "asymptotic dimension",
      "define coarse"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6547B"
    }
  }
}