{
  "id": "2005.04947",
  "version": "v1",
  "published": "2020-05-11T09:18:02.000Z",
  "updated": "2020-05-11T09:18:02.000Z",
  "title": "Hausdorff dimension and projections related to intersections",
  "authors": [
    "Pertti Mattila"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "For $S_g(x,y)=x-g(y), x,y\\in\\mathbb{R}^n, g\\in O(n),$ we investigate the Lebesgue measure and Hausdorff dimension of $S_g(A)$ given the dimension of $A$, both for general Borel subsets of $\\mathbb{R}^{2n}$ and for product sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-11T09:18:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A75"
    ],
    "keywords": [
      "hausdorff dimension",
      "projections",
      "intersections",
      "general borel subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}