{
  "id": "math/0010224",
  "version": "v1",
  "published": "2000-10-24T05:31:44.000Z",
  "updated": "2000-10-24T05:31:44.000Z",
  "title": "The groups of PL and Lipschitz homeomorphisms of noncompact 2-manifolds",
  "authors": [
    "Tatsuhiko Yagasaki"
  ],
  "comment": "18 pages",
  "categories": [
    "math.GT",
    "math.GN"
  ],
  "abstract": "Suppose M is a noncompact connected PL 2-manifold. In this paper we study the topological property of the triple (H(M)_0, H^PL(M)_0, H^PL, c(M)_0), where H(M)_0 is the identity component of the homeomorphism group {\\cal H}(M) of M with the compact-open topology, and H^PL(M)_0 and H^PL, c(M)_0 are the identity components of the subgroups consisting of PL-homeomorphisms of M and ones with compact supports. We show that this triple is a (s^infty,sigma^infty,sigma^infty_f)-manifold and determine its topological type. We also study the subgroups of Lipschitz homeomorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-10-24T05:31:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N05",
      "57N20",
      "58B05",
      "58D15"
    ],
    "keywords": [
      "lipschitz homeomorphisms",
      "identity component",
      "compact-open topology",
      "homeomorphism group",
      "compact supports"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....10224Y"
    }
  }
}