{
  "id": "math/0011167",
  "version": "v1",
  "published": "2000-11-21T22:01:43.000Z",
  "updated": "2000-11-21T22:01:43.000Z",
  "title": "The Karp complexity of unstable classes",
  "authors": [
    "Michael C. Laskowski",
    "Saharon Shelah"
  ],
  "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 the class of doubly transitive linear orders is controlled, while any pseudo-elementary class with the omega-independence property is not controlled.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-21T22:01:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "karp complexity",
      "unstable classes",
      "cardinals lambda",
      "equivalence classes",
      "proper class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....11167L"
    }
  }
}