{
  "id": "2107.01342",
  "version": "v1",
  "published": "2021-07-03T04:39:59.000Z",
  "updated": "2021-07-03T04:39:59.000Z",
  "title": "Besicovitch-Morse type covering lemmas in metric spaces",
  "authors": [
    "Tong Zhang"
  ],
  "categories": [
    "math.CA",
    "math.DG"
  ],
  "abstract": "The aims of this article is to generalize some useful Besicovitch-Morse type covering lemmas in complete Riemannian manifolds and try to find more spaces such that the so-called BCP and WBCP are equivalent while these two properties are weaker and still useful. We also get interest in the best constants of Besicovitch-type covering properties in Eclid spaces and sorted out the best results of related problems before giving a new proof of Besicovitch corvering theorem in the one-dimensional case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-03T04:39:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric spaces",
      "useful besicovitch-morse type covering lemmas",
      "complete riemannian manifolds",
      "best constants",
      "besicovitch-type covering properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}