Dmitry Kozlov
Published 1997-04-28Version 1
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.
The flag f-vectors of Gorenstein* order complexes of dimension 3
f-vectors of Simplicial Posets that are Balls
Order complexes of coset posets of finite groups are not contractible
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