{
  "id": "1912.12349",
  "version": "v1",
  "published": "2019-12-27T21:47:19.000Z",
  "updated": "2019-12-27T21:47:19.000Z",
  "title": "The intersection of typical Besicovitch sets with lines",
  "authors": [
    "T. Kátay"
  ],
  "comment": "7 pages, no figure, submitted to Real Analysis Exchange",
  "categories": [
    "math.MG",
    "math.CA"
  ],
  "abstract": "We show that a typical Besicovitch set $B$ has intersections of measure zero with every line not contained in it. Moreover, every line in $B$ intersects the union of all the other lines in $B$ in a set of measure zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-27T21:47:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A78"
    ],
    "keywords": [
      "typical besicovitch set",
      "intersection",
      "measure zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}