{
  "id": "math/0606270",
  "version": "v5",
  "published": "2006-06-12T19:55:27.000Z",
  "updated": "2010-11-04T19:19:49.000Z",
  "title": "On the Pytkeev property in spaces of continuous functions",
  "authors": [
    "Petr Simon",
    "Boaz Tsaban"
  ],
  "journal": "Proceedings of the American Mathematical Society 136 (2008), 1125-1135",
  "doi": "10.1090/S0002-9939-07-09070-3",
  "categories": [
    "math.GN",
    "math.CO",
    "math.LO"
  ],
  "abstract": "Answering a question of Sakai, we show that the minimal cardinality of a set of reals X such that C_p(X) does not have the Pytkeev property is equal to the pseudo-intersection number p. Our approach leads to a natural characterization of the Pytkeev property of C_p(X) by means of a covering property of X, and to a similar result for the Reznicenko property of C_p(X).",
  "revisions": [
    {
      "version": "v5",
      "updated": "2010-11-04T19:19:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pytkeev property",
      "continuous functions",
      "similar result",
      "natural characterization",
      "pseudo-intersection number"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6270S"
    }
  }
}