{
  "id": "1206.6555",
  "version": "v2",
  "published": "2012-06-28T03:22:45.000Z",
  "updated": "2012-12-17T23:09:41.000Z",
  "title": "Cardinal functions $F_θ(X)$ and $t_θ(X)$ for H-closed spaces",
  "authors": [
    "Filippo Cammaroto",
    "Andrei Catalioto",
    "Jack Porter"
  ],
  "comment": "This paper has been withdrawn by the author due to an error in chapter 4",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this article, starting with results from a paper by Cammaroto and Ko\\v{c}inac in 1993, we prove that $t_{\\theta}(X) = t_{\\theta}(X_{s}) = t(X_{s}) = F_{\\theta}(X) = F_{\\theta}(X_{s}) = F(X_{s})$ for every H-closed and Urysohn space and we present some useful examples to study the full relationships among the cardinal functions $t$, $t_{\\theta}$, $F$ and $F_{\\theta}$ in the context of H-closed and Urysohn spaces. Also, we construct an H-closed space $H$ for which $F_{\\theta}(H) < t_{\\theta}(H)$. Two questions posed by Cammaroto and Ko\\v{c}inac about H-closed spaces are answered.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-17T23:09:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A25",
      "54D10",
      "54D25",
      "54D35",
      "54G20"
    ],
    "keywords": [
      "h-closed space",
      "cardinal functions",
      "urysohn space",
      "full relationships",
      "useful examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.6555C"
    }
  }
}