{
  "id": "math/0303345",
  "version": "v1",
  "published": "2003-03-27T01:48:15.000Z",
  "updated": "2003-03-27T01:48:15.000Z",
  "title": "Karp complexity and classes with the independence property",
  "authors": [
    "Michael C. Laskowski",
    "Saharon Shelah"
  ],
  "journal": "Annals of Pure and Applied Logic, 120 (2003), 263-283",
  "categories": [
    "math.LO"
  ],
  "abstract": "A class K of structures is controlled if for all cardinals lambda, the relation of L_{infty,lambda}-equivalence partitions K into a set of equivalence classes (as opposed to a proper class). We prove that no pseudo-elementary class with the independence property is controlled. By contrast, there is a pseudo-elementary class with the strict order property that is controlled.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-27T01:48:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "independence property",
      "karp complexity",
      "pseudo-elementary class",
      "strict order property",
      "cardinals lambda"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3345L"
    }
  }
}