{
  "id": "math/9211213",
  "version": "v2",
  "published": "1992-11-15T00:00:00.000Z",
  "updated": "2019-07-24T18:03:26.000Z",
  "title": "Baire property and Axiom of Choice",
  "authors": [
    "Haim Judah",
    "Saharon Shelah"
  ],
  "comment": "Proof not correct",
  "journal": "Israel J. Math. 84 (1993), 435--450",
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that (1) If ZF is consistent then the following theory is consistent \"ZF + DC(omega_{1}) + Every set of reals has Baire property\" and (2) If ZF is consistent then the following theory is consistent \"ZFC + `every projective set of reals has Baire property' + `any union of omega_{1} meager sets is meager' \".",
  "revisions": [
    {
      "version": "v1",
      "updated": "1992-11-15T00:00:00.000Z",
      "abstract": "We show that (1) If ZF is consistent then the following theory is consistent ``ZF + DC(omega_{1}) + Every set of reals has Baire property'' and (2) If ZF is consistent then the following theory is consistent ``ZFC + `every projective set of reals has Baire property' + `any union of omega_{1} meager sets is meager' ''.",
      "comment": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2019-07-24T18:03:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "baire property",
      "consistent",
      "meager sets"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1992math.....11213J"
    }
  }
}