{
  "id": "math/0512340",
  "version": "v1",
  "published": "2005-12-14T19:01:48.000Z",
  "updated": "2005-12-14T19:01:48.000Z",
  "title": "Absolutely continuous functions with values in metric spaces",
  "authors": [
    "Jakub Duda"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CA",
    "math.MG"
  ],
  "abstract": "We present a general theory of absolutely continuous paths with values in metric spaces using the notion of metric derivatives. Among other results, we prove analogues of the Banach-Zarecki and Vallee Poussin theorems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-14T19:01:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A46",
      "26E20"
    ],
    "keywords": [
      "metric spaces",
      "absolutely continuous functions",
      "vallee poussin theorems",
      "metric derivatives",
      "general theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12340D"
    }
  }
}