{
  "id": "1206.6554",
  "version": "v2",
  "published": "2012-06-28T03:22:11.000Z",
  "updated": "2012-12-17T23:11:25.000Z",
  "title": "On the cardinality of the $θ$-closed hull of sets II",
  "authors": [
    "Filippo Cammaroto",
    "Andrei Catalioto",
    "Bruno Antonio Pansera",
    "Jack Porter"
  ],
  "comment": "This paper has been withdrawn by the author due to an error in chapter 2",
  "categories": [
    "math.GN"
  ],
  "abstract": "The research in this paper is a continuation of the investigation of the cardinality of the $\\theta$-closed hull of subsets of spaces. This research obtains new upper bounds of the cardinality of the $\\theta$-closed hull of subsets using cardinal functions of $\\theta$-bitightness (\\cite{Ca-Ko}), finite $\\theta$-bitightness (\\cite{Ca-Ca-Pa-Ts}) and $\\theta$-bitightness small number (\\cite{Ca-Ca-Pa-Ts}) of spaces. In the final section, examples of spaces are presented including one that answers a question posed in \\cite{Bo-Ca-Ma} and \\cite{Bo-Pa}.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-17T23:11:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A25",
      "54D10",
      "54A20",
      "54D25"
    ],
    "keywords": [
      "closed hull",
      "cardinality",
      "bitightness small number",
      "cardinal functions",
      "upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.6554C"
    }
  }
}