{
  "id": "1608.00732",
  "version": "v1",
  "published": "2016-08-02T08:42:36.000Z",
  "updated": "2016-08-02T08:42:36.000Z",
  "title": "All uncountable regular cardinals can be inaccessible in HOD",
  "authors": [
    "Mohammad Golshani"
  ],
  "comment": "A strengthening of the result of this paper is proved by Gitik-Merimovich in \"Some applications of Supercompact Extender Based Forcings to HOD \" , where they produced a model in which all uncountable regular cardinals are measurable in HOD. arXiv admin note: text overlap with arXiv:1511.04598 by other authors",
  "categories": [
    "math.LO"
  ],
  "abstract": "Assuming the existence of a supercompact cardinal and an inaccessible above it, we construct a model of ZFC, in which all uncountable regular cardinals are inaccessible in HOD.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-02T08:42:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uncountable regular cardinals",
      "inaccessible",
      "supercompact cardinal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}