{
  "id": "math/9201248",
  "version": "v1",
  "published": "1991-01-15T00:00:00.000Z",
  "updated": "1991-01-15T00:00:00.000Z",
  "title": "A partition theorem for pairs of finite sets",
  "authors": [
    "Thomas Jech",
    "Saharon Shelah"
  ],
  "journal": "J. Amer. Math. Soc. 4 (1991), 647--656",
  "categories": [
    "math.LO"
  ],
  "abstract": "Every partition of [[omega_1]^{< omega}]^2 into finitely many pieces has a cofinal homogeneous set. Furthermore, it is consistent that every directed partially ordered set satisfies the partition property if and only if it has finite character.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1991-01-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite sets",
      "partition theorem",
      "finite character",
      "cofinal homogeneous set",
      "partition property"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "J. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}