The bounded complex of a uniform affine oriented matroid is a ball

DOI10.1016/j.jcta.2007.07.009zbMath1169.05312arXivmath/0610575OpenAlexW1974343630MaRDI QIDQ2427558

Xun Dong

Publication date: 13 May 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610575

zbMATH Keywords

uniform oriented matroidsbounded complexaffine oriented matroidssimple hyperplane arrangements

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (6)

Shelling the \(m=1\) amplituhedron ⋮ A generalization of combinatorial identities for stable discrete series constants ⋮ Finite sets as complements of finite unions of convex sets ⋮ COMs: complexes of oriented matroids ⋮ The \(m=1\) amplituhedron and cyclic hyperplane arrangements ⋮ The Cohen-Macaulayness of the bounded complex of an affine oriented matroid

Cites Work

• Unnamed Item
• The face lattice of hyperplane arrangements
• A note on some contractible 4-manifolds
• On the bounded complex of an affine oriented matroid
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Oriented Matroids

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