{
  "id": "math/0303089",
  "version": "v1",
  "published": "2003-03-07T09:48:45.000Z",
  "updated": "2003-03-07T09:48:45.000Z",
  "title": "Core models in the presence of Woodin cardinals",
  "authors": [
    "Ralf Schindler"
  ],
  "comment": "6 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "It is shown that if there is a measurable cardinal above n Woodin cardinals and M_{n+1}^# doesn't exist then K exists. K is not fully iterable, though, but only iterable with respect to stacks of certain trees living between the Woodin cardinals. However, it is still true that if M is an omega-closed iterate of V then K^M is an iterate of K.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-07T09:48:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "03E45"
    ],
    "keywords": [
      "woodin cardinals",
      "core models",
      "measurable cardinal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3089S"
    }
  }
}