{
  "id": "1005.2802",
  "version": "v2",
  "published": "2010-05-17T03:07:45.000Z",
  "updated": "2013-12-24T10:26:38.000Z",
  "title": "Preserving old ([omega]^{aleph_0},supseteq) is proper",
  "authors": [
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We give some sufficient and necessary conditions on a forcing notion Q for preserving the forcing notion ([omega]^{aleph_0},supseteq) is proper. They cover many reasonable forcing notions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-24T10:26:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "03E50"
    ],
    "keywords": [
      "preserving old",
      "necessary conditions",
      "sufficient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.2802S"
    }
  }
}