{
  "id": "1203.4271",
  "version": "v2",
  "published": "2012-03-19T21:36:28.000Z",
  "updated": "2012-03-28T21:34:00.000Z",
  "title": "Injective Simplicial Maps of the Complexes of Curves of Nonorientable Surfaces",
  "authors": [
    "Elmas Irmak"
  ],
  "comment": "15 pages, 6 Figures. The paper was shortened and reorganized",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "Let $N$ be a compact, connected, nonorientable surface of genus $g$ with $n$ boundary components, and $\\mathcal{C}(N)$ be the complex of curves of $N$. Suppose that $g + n \\leq 3$ or $g + n \\geq 5$. If $\\lambda : \\mathcal{C}(N) \\rightarrow \\mathcal{C}(N)$ is an injective simplicial map, then $\\lambda$ is induced by a homeomorphism of $N$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-28T21:34:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99",
      "20F38"
    ],
    "keywords": [
      "injective simplicial map",
      "nonorientable surface",
      "boundary components",
      "homeomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.4271I"
    }
  }
}