{
  "id": "0905.3913",
  "version": "v2",
  "published": "2009-05-24T17:23:39.000Z",
  "updated": "2010-12-06T18:53:35.000Z",
  "title": "More on the pressing down game",
  "authors": [
    "Jakob Kellner",
    "Saharon Shelah"
  ],
  "journal": "Arch. Math. Logic 50 (2011), No. 3, 477--501",
  "doi": "10.1007/s00153-011-0227-x",
  "categories": [
    "math.LO"
  ],
  "abstract": "We investigate the pressing down game and its relation to the Banach Mazur game. In particular we show: Consistently, there is a nowhere precipitous normal ideal $I$ on $\\aleph_2$ such that player nonempty wins the pressing down game of length $\\aleph_1$ on $I$ even if player empty starts.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-06T18:53:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "03E55"
    ],
    "keywords": [
      "banach mazur game",
      "player nonempty wins",
      "player empty starts",
      "precipitous normal ideal"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.3913K"
    }
  }
}