{
  "id": "1904.11168",
  "version": "v1",
  "published": "2019-04-25T06:29:06.000Z",
  "updated": "2019-04-25T06:29:06.000Z",
  "title": "Properness under closed forcing",
  "authors": [
    "Yasuo Yoshinobu"
  ],
  "comment": "7 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "For every uncountable regular $\\kappa$, we give two examples of proper posets which turn improper in some $\\kappa$-closed forcing extension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-25T06:29:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E40",
      "03E57"
    ],
    "keywords": [
      "properness",
      "turn improper",
      "proper posets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}