{
  "id": "1803.03944",
  "version": "v1",
  "published": "2018-03-11T11:15:15.000Z",
  "updated": "2018-03-11T11:15:15.000Z",
  "title": "Extendible cardinals and the mantle",
  "authors": [
    "Toshimichi Usuba"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "The mantle is the intersection of all ground models of $V$. We show that if there exists an extendible cardinal then the mantle is a ground model of $V$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-11T11:15:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extendible cardinal",
      "ground model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}