{
  "id": "1707.04871",
  "version": "v1",
  "published": "2017-07-16T11:45:41.000Z",
  "updated": "2017-07-16T11:45:41.000Z",
  "title": "Cardinal Invariants for the $G_δ$ topology",
  "authors": [
    "Angelo Bella",
    "Santi Spadaro"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove upper bounds for the spread, the Lindel\\\"of number and the weak Lindel\\\"of number of the $G_\\delta$-topology on a topological space and apply a few of our bounds to give a short proof to a recent result of Juh\\'asz and van Mill regarding the cardinality of a $\\sigma$-countably tight homogeneous compactum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-16T11:45:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cardinal invariants",
      "short proof",
      "upper bounds",
      "countably tight homogeneous compactum",
      "van mill regarding"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}