{
  "id": "math/0502047",
  "version": "v1",
  "published": "2005-02-02T14:33:16.000Z",
  "updated": "2005-02-02T14:33:16.000Z",
  "title": "Two preservation theorems",
  "authors": [
    "Jindrich Zapletal"
  ],
  "comment": "21 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "I prove preservation theorems for countable support iteration of proper forcing concerning certain classes of capacities and submeasures. New examples of forcing notions and connections with measure theory are included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-02T14:33:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "03E17",
      "28A12",
      "28A78"
    ],
    "keywords": [
      "preservation theorems",
      "countable support iteration",
      "measure theory",
      "capacities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2047Z"
    }
  }
}