{
  "id": "math/0002089",
  "version": "v3",
  "published": "2000-02-11T13:05:47.000Z",
  "updated": "2001-04-06T14:05:41.000Z",
  "title": "The core model for almost linear iterations",
  "authors": [
    "Ralf-Dieter Schindler"
  ],
  "comment": "80 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We introduce 0^h (0^handgrenade) as a sharp for an inner model with a proper class of strong cardinals. If 0^h does not exist then any normal iteration tree is \"almost linear.\" We exploit this fact to prove the existence of the core model K in the theory \"ZFC + 0^h does not exist.\" (As of today, non-0^h is thereby the weakest anti large cardinal assumption under which K can be shown to exist in ZFC. In this sense we improve earlier work of Dodd, Jensen, Mitchell, and - partially - Steel.) We indicate that our paper provides the last step for determining the exact consistency strength of a statement in the Delfino problem list.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-04-06T14:05:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "03E45",
      "03E55"
    ],
    "keywords": [
      "core model",
      "linear iterations",
      "weakest anti large cardinal assumption",
      "normal iteration tree",
      "exact consistency strength"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 80,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......2089S"
    }
  }
}