{
  "id": "2101.08598",
  "version": "v1",
  "published": "2021-01-21T13:37:00.000Z",
  "updated": "2021-01-21T13:37:00.000Z",
  "title": "A Topological Proof of Sklar's Theorem in Arbitrary Dimensions",
  "authors": [
    "Fred Espen Benth",
    "Giulia Di Nunno",
    "Dennis Schroers"
  ],
  "comment": "6 pages",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "We prove Sklar's theorem in infinite dimensions via a topological argument and the notion of inverse systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-21T13:37:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E05",
      "62H05",
      "62H20",
      "28C20",
      "G.3"
    ],
    "keywords": [
      "sklars theorem",
      "arbitrary dimensions",
      "topological proof",
      "infinite dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}