{
  "id": "math/0009047",
  "version": "v1",
  "published": "2000-09-05T18:27:40.000Z",
  "updated": "2000-09-05T18:27:40.000Z",
  "title": "A space with only Borel subsets",
  "authors": [
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "Miklos Laczkovich asked if there exists a Haussdorff (or even normal) space in which every subset is Borel yet it is not meager. The motivation of the last condition is that under MA_kappa every subspace of the reals of cardinality kappa has the property that all subsets are F_sigma, however Martin's axiom also implies that these subsets are meager. Here we answer Laczkovich' question.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-09-05T18:27:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "borel subsets",
      "cardinality kappa",
      "martins axiom",
      "answer laczkovich",
      "miklos laczkovich"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......9047S"
    }
  }
}