{
  "id": "1810.07964",
  "version": "v1",
  "published": "2018-10-18T09:31:58.000Z",
  "updated": "2018-10-18T09:31:58.000Z",
  "title": "Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces",
  "authors": [
    "Sabahattİn Ilbira",
    "Mustafa Korkmaz"
  ],
  "comment": "20 pages, 6 figures. Comments are welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "A rigid set in a curve complex of a surface is a subcomplex such that every locally injective simplicial map from the set into the curve complex is induced by a homeomorphism of the surface. In this paper, we find finite rigid sets in the curve complexes of connected non-orientable surfaces of genus $g$ with $n$ holes for $g+n \\neq 4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-18T09:31:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite rigid sets",
      "curve complex",
      "locally injective simplicial map",
      "homeomorphism",
      "connected non-orientable surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}