{
  "id": "math/0404318",
  "version": "v1",
  "published": "2004-04-18T17:03:28.000Z",
  "updated": "2004-04-18T17:03:28.000Z",
  "title": "Cofinality of normal ideals on P_κ(λ), I",
  "authors": [
    "Pierre Matet",
    "Cédric Péan",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Given an ordinal delta <= lambda and a cardinal theta <= kappa, an ideal J on P_kappa(lambda) is said to be [delta]^{<theta}-normal if given B_e in J for e in P_theta(delta), the set of all a in P_kappa(lambda) such that a in B_e for some e in P_{|a cap theta|}(a cap delta) lies in J. We give necessary and sufficient conditions for the existence of such ideals and we describe the least one and we compute its cofinality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-18T17:03:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "normal ideals",
      "cofinality",
      "ordinal delta",
      "cardinal theta",
      "cap delta"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4318M"
    }
  }
}