{
  "id": "1311.5436",
  "version": "v1",
  "published": "2013-11-21T15:01:29.000Z",
  "updated": "2013-11-21T15:01:29.000Z",
  "title": "Finite compactifications of $ω^* \\setminus \\{x\\}$",
  "authors": [
    "Max. F. Pitz",
    "Rolf Suabedissen"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove that under [CH], finite compactifications of $\\omega^* \\setminus \\{x\\}$ are homeomorphic to $\\omega^*$. Moreover, in each case, the remainder consists almost exclusively of $P$-points, apart from possibly one point. Similar results are obtained for other, related classes of spaces, amongst them $S_\\kappa$, the $\\kappa$-Parovi\\v{c}enko space of weight $\\kappa$. Also, some parallels are drawn to the Cantor set and the Double Arrow space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-21T15:01:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D35"
    ],
    "keywords": [
      "finite compactifications",
      "cantor set",
      "double arrow space",
      "remainder consists",
      "similar results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.5436P"
    }
  }
}