On the topology of the free complexes of convex geometries

DOI10.1016/j.disc.2006.06.020zbMath1113.52020OpenAlexW2152440687MaRDI QIDQ864169

Masahiro Hachimori, Kenji Kashiwabara

Publication date: 13 February 2007

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2006.06.020

zbMATH Keywords

simplicial complexcontractibilityhomotopyclosure systemconvex geometryfree complex

Mathematics Subject Classification ID

Homotopy theory (55P99) Other problems of combinatorial convexity (52A37) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness ⋮ Sequential partitions of nonpure simplicial complexes

Cites Work

• Greedoids
• A circuit set characterization of antimatroids
• Convex, acyclic, and free sets of an oriented matroid
• Convexity and the beta invariant
• Counting the interior points of a point configuration
• Unnamed Item

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