Matroid shellability, \(\beta\)-systems, and affine hyperplane arrangements

DOI10.1023/A:1022492019120zbMath0782.05022MaRDI QIDQ686005

Günter M. Ziegler

Publication date: 1 November 1993

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

matroidsshellabilityaffine hyperplane arrangementsbroken-circuit complexgeometric latticeslinear hyperplane arrangements

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items

Recent topics of arrangements of hyperplanes, Lagrangian geometry of matroids, Lagrangian combinatorics of matroids, 𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements, Two Decompositions in Topological Combinatorics with Applications to Matroid Complexes, The determinant of a hypergeometric periodic matrix, Betti numbers of multigraded modules of generic type, Geometric relationship between cohomology of the complement of real and complexified arrangements, Finiteness theorems for matroid complexes with prescribed topology, Shellability of complexes of trees

Cites Work

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