Order complexes of noncomplemented lattices are nonevasive

Details Order complexes of noncomplemented lattices are nonevasive Order complexes of noncomplemented lattices are nonevasive

1997-04-28

arxiv.org/abs/math/9704225v1

Mathematics

Combinatorics

Scientific paper

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.

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