On the division of space by topological hyperplanes

DOI10.1016/j.ejc.2008.12.011zbMath1179.52030arXivmath/0609047OpenAlexW2067004904MaRDI QIDQ1041603

Thomas Zaslavsky, David L. Forge

Publication date: 3 December 2009

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

Full work available at URL: https://arxiv.org/abs/math/0609047

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Oriented matroids in discrete geometry (52C40)

Related Items (4)

The Varchenko matrix for topoplane arrangements ⋮ On a generalization of Zaslavsky's theorem for hyperplane arrangements ⋮ Finitary affine oriented matroids ⋮ Manifold arrangements

Cites Work

• On geometric semilattices
• Lopsided sets and orthant-intersection by convex sets
• Oriented matroids
• A combinatorial analysis of topological dissections
• Dissections of a Plane Oval
• Simple Partitions of Space
• Oriented Matroids

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