{
  "id": "1703.03066",
  "version": "v1",
  "published": "2017-03-08T23:10:03.000Z",
  "updated": "2017-03-08T23:10:03.000Z",
  "title": "Absolute $F_{σδ}$ spaces",
  "authors": [
    "Vojtěch Kovařík",
    "Ondřej Kalenda"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove that hereditarily Lindel\\\"of space which is $F_{\\sigma\\delta}$ in some compactification is absolutely $F_{\\sigma\\delta}$. In particular, this implies that any separable Banach space is absolutely $F_{\\sigma\\delta}$ when equipped with the weak topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-08T23:10:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak topology",
      "separable banach space",
      "compactification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}