Order complexes of noncomplemented lattices are nonevasive
Combinatorics
2008-02-03 v1
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.
Keywords
Cite
@article{arxiv.math/9704225,
title = {Order complexes of noncomplemented lattices are nonevasive},
author = {Dmitry Kozlov},
journal= {arXiv preprint arXiv:math/9704225},
year = {2008}
}