{
  "id": "1204.2121",
  "version": "v3",
  "published": "2012-04-10T12:29:47.000Z",
  "updated": "2012-06-04T19:01:27.000Z",
  "title": "On the Packing Dimension and Category of Exceptional Sets of Orthogonal Projections",
  "authors": [
    "Tuomas Orponen"
  ],
  "comment": "42 pages, 5 figures. v3: improved Theorem 1.9",
  "categories": [
    "math.CA"
  ],
  "abstract": "We consider several classical results related to the Hausdorff dimension of exceptional sets of orthogonal projections and try to find out whether they have reasonable formulations in terms of packing dimension. We also investigate the existence of category versions for Marstrand and Falconer-Howroyd-type projection results.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-06-04T19:01:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exceptional sets",
      "orthogonal projections",
      "packing dimension",
      "falconer-howroyd-type projection results",
      "category versions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.2121O"
    }
  }
}