{
  "id": "math/9605234",
  "version": "v1",
  "published": "1996-05-15T00:00:00.000Z",
  "updated": "1996-05-15T00:00:00.000Z",
  "title": "Cardinal preserving ideals",
  "authors": [
    "Moti Gitik",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We give some general criteria, when kappa-complete forcing preserves largeness properties -- like kappa-presaturation of normal ideals on lambda (even when they concentrate on small cofinalities). Then we quite accurately obtain the consistency strength ``NS_lambda is aleph_1-preserving'', for lambda > aleph_2 .",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-05-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cardinal preserving ideals",
      "kappa-complete forcing preserves largeness properties",
      "general criteria",
      "consistency strength",
      "normal ideals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math......5234G"
    }
  }
}