Order complexes of noncomplemented lattices are nonevasive

Order complexes of noncomplemented lattices are nonevasive
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非互补晶格的有序复合体是非回避性的

DOI:
10.1090/s0002-9939-98-05021-7
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发表时间:
1997
期刊:
影响因子:
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通讯作者:
D. Kozlov
D. Kozlov
中科院分区:
--
文献类型:
--
作者:
D. Kozlov

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我们以组合的方式反驳并概括了 A. Bjorner [J.\ Comb.\ Th.\ A {\bf 30}, 1981, pp.~90--100, 定理 3.3] 的结果,即非补格格的阶复形是可收缩的,即通过证明这些单纯复形实际上是非规避的,特别是可折叠的。
We reprove and generalize in a combinatorial way the result of A. Bjorner [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.