{
  "id": "math/9409203",
  "version": "v1",
  "published": "1994-09-02T00:00:00.000Z",
  "updated": "1994-09-02T00:00:00.000Z",
  "title": "Small forcings and Cohen reals",
  "authors": [
    "Jindřich Zapletal"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove it consistent relative to ZFC that all nontrivial forcings of size $\\aleph _1$ add a Cohen real.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-09-02T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohen real",
      "small forcings",
      "nontrivial forcings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1994math......9203Z"
    }
  }
}