{
  "id": "math/0111284",
  "version": "v1",
  "published": "2001-11-27T19:46:29.000Z",
  "updated": "2001-11-27T19:46:29.000Z",
  "title": "Strongly meager sets can be quite big",
  "authors": [
    "Tomek Bartoszynski",
    "Andrzej Nowik",
    "Tomasz Weiss"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "The paper contains two results pointing to the lack of symmetry between measure and category. Assume CH. There exists a strongly meager subset of the Cantor set that can be mapped onto the Cantor set by a uniformly continuous function. (It is well known that uniformly continuous image of a strongly null set is strongly null). A ZFC version of this result is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-27T19:46:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strongly meager sets",
      "quite big",
      "cantor set",
      "strongly null set",
      "zfc version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11284B"
    }
  }
}