{
  "id": "math/0606385",
  "version": "v1",
  "published": "2006-06-16T05:17:19.000Z",
  "updated": "2006-06-16T05:17:19.000Z",
  "title": "On homeomorphisms and quasi-isometries of the real line",
  "authors": [
    "Parameswaran Sankaran"
  ],
  "comment": "9 pages",
  "journal": "Proc. Amer. Math. Soc. 134 (2006), no. 7, (1875-1889)(electronic)",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the group of all pl-homeomorphisms of the reals having bounded slopes surjects on the group $QI({\\Bbb R})$ of all quasi-isometries of ${\\Bbb R}$. We prove that the following groups can be imbedded in $QI({\\Bbb R})$: The group of compactly supported pl-homeomorphisms of the reals, the Richard Thompson group F, and the free group of rank the continuum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-16T05:17:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F28"
    ],
    "keywords": [
      "real line",
      "quasi-isometries",
      "richard thompson group",
      "free group",
      "bounded slopes surjects"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6385S"
    }
  }
}