{
  "id": "0812.0489",
  "version": "v2",
  "published": "2008-12-02T12:36:23.000Z",
  "updated": "2008-12-04T19:03:00.000Z",
  "title": "Building suitable sets for locally compact groups by means of continuous selections",
  "authors": [
    "Dmitri Shakhmatov"
  ],
  "comment": "No changes except page layout. 11 pages. To appear in: Topology and its Applications",
  "journal": "Topology and its Applications, 156 (2009), 1216-1223",
  "doi": "10.1016/j.topol.2008.12.009",
  "categories": [
    "math.GN",
    "math.GR"
  ],
  "abstract": "If a discrete subset S of a topological group G with the identity 1 generates a dense subgroup of G and S \\cup {1} is closed in G, then S is called a suitable set for G. We apply Michael's selection theorem to offer a direct, self-contained, purely topological proof of the result of Hofmann and Morris on the existence of suitable sets in locally compact groups. Our approach uses only elementary facts from (topological) group theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-12-04T19:03:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D05",
      "22A05",
      "22C05",
      "54A25",
      "54B05",
      "54B35",
      "54C60",
      "54C65",
      "54D30",
      "54D45",
      "54H11"
    ],
    "keywords": [
      "locally compact groups",
      "building suitable sets",
      "continuous selections",
      "apply michaels selection theorem",
      "group theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0489S"
    }
  }
}