{
  "id": "1307.1548",
  "version": "v2",
  "published": "2013-07-05T08:46:13.000Z",
  "updated": "2013-10-05T11:57:37.000Z",
  "title": "A classification of the face numbers of Buchsbaum simplicial posets",
  "authors": [
    "Jonathan Browder",
    "Steven Klee"
  ],
  "comment": "16 pages. Updated; added section 5 (on manifolds)",
  "categories": [
    "math.CO"
  ],
  "abstract": "The family of Buchsbaum simplicial posets generalizes the family of simplicial cell manifolds. The $h'$-vector of a simplicial complex or simplicial poset encodes the combinatorial and topological data of its face numbers and the reduced Betti numbers of its geometric realization. Novik and Swartz showed that the $h'$-vector of a Buchsbaum simplicial poset satisfies certain simple inequalities; in this paper we show that these necessary conditions are in fact sufficient to characterize the $h'$-vectors of Buchsbaum simplicial posets with prescribed Betti numbers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-05T11:57:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A07",
      "52B05"
    ],
    "keywords": [
      "face numbers",
      "classification",
      "buchsbaum simplicial posets generalizes",
      "buchsbaum simplicial poset satisfies",
      "simplicial poset encodes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1548B"
    }
  }
}