{
  "id": "1609.01649",
  "version": "v1",
  "published": "2016-09-06T16:41:50.000Z",
  "updated": "2016-09-06T16:41:50.000Z",
  "title": "The Kakeya needle problem and the existence of Besicovitch and Nikodym sets for rectifiable sets",
  "authors": [
    "Alan Chang",
    "Marianna Csörnyei"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We solve the Kakeya needle problem and construct a Besicovitch and a Nikodym set for rectifiable sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-06T16:41:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kakeya needle problem",
      "nikodym set",
      "rectifiable sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}