{
  "id": "math/9312212",
  "version": "v1",
  "published": "1993-12-15T00:00:00.000Z",
  "updated": "1993-12-15T00:00:00.000Z",
  "title": "The number of independent elements in the product of interval Boolean algebras",
  "authors": [
    "Saharon Shelah"
  ],
  "journal": "Math. Japon. 39 (1994), 1--5",
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "We prove that in the product of kappa many Boolean algebras we cannot find an independent set of more than 2^kappa elements solving a problem of Monk (earlier it was known that we cannot find more than 2^{2^kappa} but can find 2^kappa).",
  "revisions": [
    {
      "version": "v1",
      "updated": "1993-12-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interval boolean algebras",
      "independent elements",
      "independent set"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1993math.....12212S"
    }
  }
}