{
  "id": "math/0607592",
  "version": "v4",
  "published": "2006-07-24T11:36:28.000Z",
  "updated": "2010-11-04T19:22:35.000Z",
  "title": "On the Kocinac alpha_i properties",
  "authors": [
    "Boaz Tsaban"
  ],
  "journal": "Topology and its Applications 155 (2007), 141-145",
  "doi": "10.1016/j.topol.2007.08.018",
  "categories": [
    "math.GN",
    "math.CO",
    "math.LO"
  ],
  "abstract": "The Kocinac alpha_i properties, i=1,2,3,4, are generalizations of Arhangel'skii's alpha_i local properties. We give a complete classification of these properties when applied to the standard families of open covers of topological spaces or to the standard families of open covers of topological groups. One of the latter properties characterizes totally bounded groups. We also answer a question of Kocinac.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-11-04T19:22:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open covers",
      "standard families",
      "properties characterizes totally bounded groups",
      "complete classification",
      "local properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7592T"
    }
  }
}