{
  "id": "math/0702125",
  "version": "v1",
  "published": "2007-02-05T22:27:09.000Z",
  "updated": "2007-02-05T22:27:09.000Z",
  "title": "Hyperconvexity and Metric Trees",
  "authors": [
    "A. G. Aksoy",
    "B. Maurizi"
  ],
  "comment": "11 pages",
  "categories": [
    "math.MG",
    "math.FA"
  ],
  "abstract": "In this paper we examine the relationship between hyperconvex hulls and metric trees. After providing a linking construction for hyperconvex spaces, we show that the four-point property is inherited by the hyperconvex hull, which leads to the theorem that every complete metric tree is hyperconvex. We also consider some extension theorems for these spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-05T22:27:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H12",
      "46M10"
    ],
    "keywords": [
      "hyperconvexity",
      "hyperconvex hull",
      "complete metric tree",
      "hyperconvex spaces",
      "four-point property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2125A"
    }
  }
}