{
  "id": "1912.10898",
  "version": "v1",
  "published": "2019-12-23T14:58:34.000Z",
  "updated": "2019-12-23T14:58:34.000Z",
  "title": "On the dimension of visible parts",
  "authors": [
    "Tuomas Orponen"
  ],
  "comment": "13 pages, 1 figure",
  "categories": [
    "math.CA",
    "math.MG"
  ],
  "abstract": "I prove that the visible parts of a compact set in $\\mathbb{R}^{2}$ have Hausdorff dimension at most $1.99$ from almost every direction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-23T14:58:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "28A78"
    ],
    "keywords": [
      "visible parts",
      "compact set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}