{
  "id": "1107.1480",
  "version": "v1",
  "published": "2011-07-07T18:37:14.000Z",
  "updated": "2011-07-07T18:37:14.000Z",
  "title": "Combinatorial R-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces",
  "authors": [
    "Hanspeter Fischer",
    "Andreas Zastrow"
  ],
  "comment": "25 pages, 3 figures",
  "journal": "Geometriae Dedicata 163 (2013) 19-43",
  "categories": [
    "math.GT"
  ],
  "abstract": "In their study of fundamental groups of one-dimensional path-connected compact metric spaces, Cannon and Conner have asked: Is there a tree-like object that might be considered the topological Cayley graph? We answer this question in the positive and provide a combinatorial description of such an object.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-07T18:37:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20E08",
      "55Q52",
      "57M05",
      "55Q07"
    ],
    "keywords": [
      "generalized cayley graphs",
      "fundamental groups",
      "one-dimensional spaces",
      "combinatorial r-trees",
      "one-dimensional path-connected compact metric spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.1480F"
    }
  }
}