{
  "id": "1509.06638",
  "version": "v1",
  "published": "2015-09-22T15:19:06.000Z",
  "updated": "2015-09-22T15:19:06.000Z",
  "title": "Quasisymmetric extension on the real line",
  "authors": [
    "Vyron Vellis"
  ],
  "comment": "12 pages",
  "categories": [
    "math.MG"
  ],
  "abstract": "We give a geometric characterization of the sets $E\\subset \\mathbb{R}$ that satisfy the following property: every monotone quasisymmetric mapping $f: E \\to \\mathbb{R}$ extends to a quasisymmetric mapping $f:\\mathbb{R}\\to\\mathbb{R}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-22T15:19:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C65"
    ],
    "keywords": [
      "real line",
      "quasisymmetric extension",
      "geometric characterization",
      "monotone quasisymmetric mapping"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906638V"
    }
  }
}