{
  "id": "1410.3136",
  "version": "v1",
  "published": "2014-10-12T19:02:46.000Z",
  "updated": "2014-10-12T19:02:46.000Z",
  "title": "Curve graphs on surfaces of infinite type",
  "authors": [
    "Ariadna Fossas",
    "Hugo Parlier"
  ],
  "comment": "11 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geometry of a fixed surface and vertices of our graphs are infinite multicurves which are bounded in both a geometric and a topological sense. We show that the graphs we construct are generally connected, infinite diameter and infinite rank.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-12T19:02:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "curve graphs",
      "infinite type surfaces",
      "study analogs",
      "infinite multicurves",
      "infinite diameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.3136F"
    }
  }
}