{
  "id": "1808.07570",
  "version": "v1",
  "published": "2018-08-22T21:34:58.000Z",
  "updated": "2018-08-22T21:34:58.000Z",
  "title": "$n$-H-closed spaces",
  "authors": [
    "Fortunata Aurora Basile",
    "Maddalena Bonanzinga",
    "Nathan Carlson",
    "Jack Porter"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper we extend the theory of H-closed extensions of Hausdorff spaces to a class of non-Hausdorff spaces, defined in \\cite{B}, called $n$-Hausdorff spaces. The notion of H-closed is generalized to an $n$-H-closed space. Known construction for Hausdorff spaces $X$, such as the Kat\\v{e}tov H-closed extension $\\kappa X$, are generalized to a maximal $n$-H-closed extension denoted by $n$-$\\kappa X$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-22T21:34:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D10"
    ],
    "keywords": [
      "h-closed space",
      "h-closed extension",
      "non-hausdorff spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}