{
  "id": "math/0102045",
  "version": "v1",
  "published": "2001-02-06T17:48:47.000Z",
  "updated": "2001-02-06T17:48:47.000Z",
  "title": "Nowhere precipitousness of the non-stationary ideal over P_kappa(lambda)",
  "authors": [
    "Yo Matsubara",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that if lambda is a strong limit singular cardinal and kappa a regular uncountable cardinal < lambda, then NS_{kappa lambda}, the non-stationary ideal over P_{kappa} lambda, is nowhere precipitous. We also show that under the same hypothesis every stationary subset of P_{kappa} lambda can be partitioned into lambda^{< kappa} disjoint stationary sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-02-06T17:48:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-stationary ideal",
      "precipitousness",
      "strong limit singular cardinal",
      "disjoint stationary sets",
      "stationary subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......2045M"
    }
  }
}