{
  "id": "math/0404225",
  "version": "v1",
  "published": "2004-04-12T06:17:05.000Z",
  "updated": "2004-04-12T06:17:05.000Z",
  "title": "Non-existence of 6-dimensional pseudomanifolds with complementarity",
  "authors": [
    "Bhaskar Bagchi",
    "Basudeb Datta"
  ],
  "comment": "11 pages. To appear in Advances in Geometry",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "In a previous paper the second author showed that if $M$ is a pseudomanifold with complementarity other than the 6-vertex real projective plane and the 9-vertex complex projective plane, then $M$ must have dimension $\\geq 6$, and - in case of equality - $M$ must have exactly 12 vertices. In this paper we prove that such a 6-dimensional pseudomanifold does not exist. On the way to proving our main result we also prove that all combinatorial triangulations of the 4-sphere with at most 10 vertices are combinatorial 4-spheres.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-12T06:17:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q15",
      "57Q25",
      "57R05"
    ],
    "keywords": [
      "pseudomanifold",
      "complementarity",
      "non-existence",
      "real projective plane",
      "combinatorial triangulations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4225B"
    }
  }
}