{
  "id": "math/9308212",
  "version": "v1",
  "published": "1993-08-15T00:00:00.000Z",
  "updated": "1993-08-15T00:00:00.000Z",
  "title": "On CH + 2^{aleph_1}-> (alpha)^2_2 for alpha < omega_2",
  "authors": [
    "Saharon Shelah"
  ],
  "journal": "Lecture Notes Logic 2 (1993), 281--289",
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove the consistency of ``CH + 2^{aleph_1} is arbitrarily large + 2^{aleph_1} not-> (omega_1 x omega)^2_2''. If fact, we can get 2^{aleph_1} not-> [omega_1 x omega]^2_{aleph_0}. In addition to this theorem, we give generalizations to other cardinals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1993-08-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "consistency",
      "arbitrarily large"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1993math......8212S"
    }
  }
}