{
  "id": "0711.1322",
  "version": "v2",
  "published": "2007-11-08T16:57:13.000Z",
  "updated": "2008-01-09T17:34:38.000Z",
  "title": "Selective screenability in topological groups",
  "authors": [
    "Liljana Babinkostova"
  ],
  "comment": "12 pages. Improved Theorem 5. Added remarks. Fixed typographical errors",
  "categories": [
    "math.GN",
    "math.GR"
  ],
  "abstract": "We examine the selective screenability property in topological groups. In the metrizable case we also give characterizations in terms of the Haver property and finitary Haver property respectively relative to left-invariant metrics. We prove theorems stating conditions under which the properties are preserved by products. Among metrizable groups we characterize the ones of countable covering dimension by a natural game.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-09T17:34:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D20",
      "54D45",
      "55M10",
      "03E20"
    ],
    "keywords": [
      "topological groups",
      "left-invariant metrics",
      "finitary haver property respectively relative",
      "selective screenability property",
      "theorems stating conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.1322B"
    }
  }
}