{
  "id": "0802.3747",
  "version": "v3",
  "published": "2008-02-26T05:26:11.000Z",
  "updated": "2012-01-28T11:40:30.000Z",
  "title": "Lower bound theorem for normal pseudomanifolds",
  "authors": [
    "Bhaskar Bagchi",
    "Basudeb Datta"
  ],
  "comment": "25 pages, Final/Published version, Appeared in `Expositiones Mathematicae'",
  "journal": "Expo. Math. 26 (2008), 327 - 351",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "In this paper we present a self-contained combinatorial proof of the lower bound theorem for normal pseudomanifolds, including a treatment of the cases of equality in this theorem. We also discuss McMullen and Walkup's generalised lower bound conjecture for triangulated spheres in the context of the lower bound theorem. Finally, we pose a new lower bound conjecture for non-simply connected triangulated manifolds.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-01-28T11:40:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q15",
      "57R05"
    ],
    "keywords": [
      "lower bound theorem",
      "normal pseudomanifolds",
      "walkups generalised lower bound conjecture",
      "self-contained combinatorial proof"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.3747B"
    }
  }
}