{
  "id": "math/9704225",
  "version": "v1",
  "published": "1997-04-28T00:00:00.000Z",
  "updated": "1997-04-28T00:00:00.000Z",
  "title": "Order complexes of noncomplemented lattices are nonevasive",
  "authors": [
    "Dmitry Kozlov"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We reprove and generalize in a combinatorial way the result of A. Bj\\\"orner [J.\\ Comb.\\ Th.\\ A {\\bf 30}, 1981, pp.~90--100, Theorem 3.3], that order complexes of noncomplemented lattices are contractible, namely by showing that these simplicial complexes are in fact nonevasive, in particular collapsible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-04-28T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "order complexes",
      "noncomplemented lattices",
      "nonevasive",
      "combinatorial way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997math......4225K"
    }
  }
}