{
  "id": "1512.06192",
  "version": "v1",
  "published": "2015-12-19T05:22:07.000Z",
  "updated": "2015-12-19T05:22:07.000Z",
  "title": "HOD, V and the GCH",
  "authors": [
    "Mohammad Golshani"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Starting from large cardinals we construct a model of $ZFC$ in which the $GCH$ fails everywhere, but such that $GCH$ holds in its $HOD$. The result answers a question of Sy Friedman. Also, relative to the existence of large cardinals, we produce a model of $ZFC+GCH$ such that $GCH$ fails everywhere in its $HOD$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-19T05:22:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large cardinals",
      "result answers",
      "sy friedman"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151206192G"
    }
  }
}