{
  "id": "math/9805148",
  "version": "v2",
  "published": "1998-05-15T00:00:00.000Z",
  "updated": "2000-01-10T03:34:28.000Z",
  "title": "Strongly meager sets do not form an ideal",
  "authors": [
    "Tomek Bartoszynski",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "A set X subseteq R is strongly meager if for every measure zero set H, X+H not= R. Let SM denote the collection of strongly meager sets. We show that assuming CH, SM is not an ideal.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-01-10T03:34:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strongly meager sets",
      "measure zero set",
      "sm denote",
      "collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......5148B"
    }
  }
}