{
  "id": "math/0304076",
  "version": "v1",
  "published": "2003-04-05T20:49:42.000Z",
  "updated": "2003-04-05T20:49:42.000Z",
  "title": "A criterion for homeomorphism between closed Haken manifolds",
  "authors": [
    "Pierre Derbez"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-12.abs.html",
  "journal": "Algebr. Geom. Topol. 3 (2003) 335-398",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we consider two connected closed Haken manifolds denoted by M^3 and N^3, with the same Gromov simplicial volume. We give a simple homological criterion to decide when a given map f: M^3-->N^3 between M^3 and N^3 can be changed by a homotopy to a homeomorphism. We then give a convenient process for constructing maps between M^3 and N^3 satisfying the homological hypothesis of the map f.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-05T20:49:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "51H20"
    ],
    "keywords": [
      "homeomorphism",
      "gromov simplicial volume",
      "convenient process",
      "simple homological criterion",
      "connected closed haken manifolds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}