{
  "id": "math/9807182",
  "version": "v1",
  "published": "1998-07-15T00:00:00.000Z",
  "updated": "1998-07-15T00:00:00.000Z",
  "title": "Consistency of the existence of a 4-place function on aleph_2 with no independent subset of size k_n",
  "authors": [
    "Peter Komjath",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "It is consistent that there is a set mapping from the four-tuples of omega_n into the finite subsets with no free subsets of size t_n for some natural number t_n. For any n< omega it is consistent that there is a set mapping from the pairs of omega_n into the finite subsets with no infinite free sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-07-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "independent subset",
      "finite subsets",
      "consistency",
      "infinite free sets",
      "consistent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......7182K"
    }
  }
}