{
  "id": "math/9706223",
  "version": "v1",
  "published": "1997-06-15T00:00:00.000Z",
  "updated": "1997-06-15T00:00:00.000Z",
  "title": "Covering a function on the plane by two continuous functions on an uncountable square - the consistency",
  "authors": [
    "Mariusz Rabus",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "It is consistent that for every function f:R x R-> R there is an uncountable set A subseteq R and two continuous functions f_0,f_1:D(A)-> R such that f(alpha, beta) in {f_0(alpha, beta),f_1(alpha, beta)} for every (alpha, beta) in A^2, alpha not = beta .",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-06-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous functions",
      "uncountable square",
      "consistency"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997math......6223R"
    }
  }
}