{
  "id": "math/9801151",
  "version": "v1",
  "published": "1998-01-15T00:00:00.000Z",
  "updated": "1998-01-15T00:00:00.000Z",
  "title": "The distributivity numbers of finite products of P(omega) /fin",
  "authors": [
    "Saharon Shelah",
    "Otmar Spinas"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Generalizing [ShSi:494], for every n< omega we construct a ZFC-model where the distributivity number of r.o. (P(omega)/fin)^{n+1}, h(n+1), is smaller than the one of r.o.(P(omega)/fin)^{n}. This answers an old problem of Balcar, Pelant and Simon. We also show that Laver and Miller forcing collapse the continuum to h(n) for every n<omega, hence by the first result, consistently they collapse it below h(n)",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-01-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "distributivity number",
      "finite products",
      "miller forcing collapse",
      "old problem",
      "first result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......1151S"
    }
  }
}