{
  "id": "1609.01032",
  "version": "v1",
  "published": "2016-09-05T06:11:27.000Z",
  "updated": "2016-09-05T06:11:27.000Z",
  "title": "Countable OD sets of reals belong to the ground model",
  "authors": [
    "Vladimir Kanovei",
    "Vassily Lyubetsky"
  ],
  "comment": "12 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "It is true in the Cohen, Solovay-random, dominaning, and Sacks generic extension that every countable ordinal-definable set of reals belongs to to the ground universe",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-05T06:11:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "03E35",
      "03E45"
    ],
    "keywords": [
      "countable od sets",
      "reals belong",
      "ground model",
      "sacks generic extension",
      "ground universe"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}