Discrete Mathematics, 307 (2007) 274-279.

On the topology of free complexes of convex geometries.

by Masahiro Hachimori and Kenji Kashiwabara


We investigate the free complex of a convex geometry. Edelman and Reiner showed that the free complex of a convex geometry is contractible. Moreover, their paper stated a conjecture about the topoloty of free complexes. This paper proves their conjecture.