{
  "id": "math/0004024",
  "version": "v2",
  "published": "2000-04-05T09:59:48.000Z",
  "updated": "2001-04-18T11:41:41.000Z",
  "title": "A small transitive family of continuous functions on the Cantor set",
  "authors": [
    "K. P. Hart",
    "B. J. van der Steeg"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper we show that, when we iteratively add Sacks reals to a model of ZFC we have for every two reals in the extension a continuous function defined in the ground model that maps one of the reals onto the other.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-18T11:41:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous function",
      "small transitive family",
      "cantor set",
      "iteratively add sacks reals",
      "ground model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......4024H"
    }
  }
}