1997/04/28 by Dmitry N. Kozlov, Kozlov, Dmitry
Computer Science · Mathematics · #Advanced Algebra and Logic #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.math/9704225
openalex publication_date 1997/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We reprove and generalize in a combinatorial way the result of A. Björner [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.