{
  "id": "1009.4446",
  "version": "v2",
  "published": "2010-09-22T19:00:09.000Z",
  "updated": "2010-12-10T16:59:26.000Z",
  "title": "Smoothness of sets in Euclidean spaces",
  "authors": [
    "Artur Nicolau",
    "Daniel Seco"
  ],
  "comment": "11 pages, 1 figure. To appear on the Bulletin of the London Mathematical Society",
  "doi": "10.1112/blms/bdq121",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study some properties of smooth sets in the sense defined by Hungerford. We prove a sharp form of Hungerford's Theorem on the Hausdorff dimension of their boundaries on Euclidean spaces and show the invariance of the definition under a class of automorphisms of the ambient space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-10T16:59:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A05",
      "28A80"
    ],
    "keywords": [
      "euclidean spaces",
      "smoothness",
      "hungerfords theorem",
      "smooth sets",
      "sharp form"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.4446N"
    }
  }
}