{
  "id": "1107.1667",
  "version": "v1",
  "published": "2011-07-08T16:05:42.000Z",
  "updated": "2011-07-08T16:05:42.000Z",
  "title": "Violating the Singular Cardinals Hypothesis Without Large Cardinals",
  "authors": [
    "Moti Gitik",
    "Peter Koepke"
  ],
  "comment": "18 pages, to appear in Israel Journal of Mathematics",
  "categories": [
    "math.LO"
  ],
  "abstract": "We extend a transitive model V of ZFC + GCH cardinal preservingly to a model N of ZF + \"GCH holds below Alef_omega\" + \"there is a surjection from the power set of Alef_omega onto lambda\" where lambda is an arbitrarily high fixed cardinal in V.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-08T16:05:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E25",
      "03E35"
    ],
    "keywords": [
      "singular cardinals hypothesis",
      "large cardinals",
      "gch cardinal",
      "gch holds",
      "power set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.1667G"
    }
  }
}