{
  "id": "math/0412547",
  "version": "v2",
  "published": "2004-12-31T02:04:34.000Z",
  "updated": "2006-02-25T05:06:49.000Z",
  "title": "How many miles to beta-X? -- d miles, or just one foot",
  "authors": [
    "Masaru Kada",
    "Kazuo Tomoyasu",
    "Yasuo Yoshinobu"
  ],
  "comment": "V2: minor linguistic corrections",
  "categories": [
    "math.GN"
  ],
  "abstract": "It is known that the Stone-Cech compactification of a metrizable space X is approximated by the collection of Smirnov compactifications of X for all compatible metrics on X. If we confine ourselves to locally compact separable metrizable spaces, the corresponding statement holds for Higson compactifications. We investigate the smallest cardinality of a set D of compatible metrics on X such that the Stone-Cech compactification of X is approximated by Smirnov or Higson compactifications for all metrics in D. We prove that it is either the dominating number or 1 for a locally compact separable metrizable space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-25T05:06:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D35",
      "03E17"
    ],
    "keywords": [
      "locally compact separable metrizable space",
      "higson compactifications",
      "stone-cech compactification",
      "compatible metrics",
      "corresponding statement holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12547K"
    }
  }
}