{
  "id": "0908.2972",
  "version": "v3",
  "published": "2009-08-20T18:46:07.000Z",
  "updated": "2011-11-20T17:54:45.000Z",
  "title": "Superinjective Simplicial Maps of the Complexes of Curves on Nonorientable Surfaces",
  "authors": [
    "Elmas Irmak"
  ],
  "comment": "In response to comments from the referee, the paper was shortened and reorganized. A minor mistake pointed out by the referee was also corrected",
  "doi": "10.3906/mat-0912-66",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We prove that each superinjective simplicial map of the complex of curves of a compact, connected, nonorientable surface is induced by a homeomorphism of the surface, if $(g, n) \\in \\{(1, 0), (1, 1), (2, 0), (2, 1), (3, 0)\\}$ or $g + n \\geq 5$, where $g$ is the genus of the surface and $n$ is the number of the boundary components.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-20T17:54:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99",
      "20F38"
    ],
    "keywords": [
      "superinjective simplicial map",
      "nonorientable surface",
      "boundary components",
      "homeomorphism"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.2972I"
    }
  }
}