{
  "id": "0801.0170",
  "version": "v1",
  "published": "2007-12-30T23:00:03.000Z",
  "updated": "2007-12-30T23:00:03.000Z",
  "title": "Orders of $π$-bases",
  "authors": [
    "Isaac Gorelic"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GN",
    "math.LO"
  ],
  "abstract": "We extend the scope of B. Shapirovskii's results [B.E Shapirovskii, \"Cardinal invariants in Compact Hausdorff Spaces,\" Amer. Math. Soc. Transl. (2) Vol. 134, 1987, pp. 93-118] on the order of $\\pi$-bases in compact spaces and answer some questions of V. Tkachuk in [V.V. Tkachuk, \"Point-countable pi-bases in first-countable and similar spaces,\" Fund. Math. 186 (2005), pp.55-69].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-30T23:00:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A25",
      "03E10",
      "03E75",
      "54A35"
    ],
    "keywords": [
      "compact hausdorff spaces",
      "similar spaces",
      "shapirovskiis results",
      "cardinal invariants",
      "compact spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0170G"
    }
  }
}