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The face lattice of hyperplane arrangements

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Publication:1114936
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DOI10.1016/0012-365X(88)90152-5zbMath0664.52009OpenAlexW2148791034MaRDI QIDQ1114936

Günter M. Ziegler

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0012-365x(88)90152-5

zbMATH Keywords

oriented matroidsarrangementzonotopesface latticehyperplanes in \({\mathbb{R}}^ d\)shellable spheres


Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Other problems of combinatorial convexity (52A37) Polytopes and polyhedra (52Bxx)


Related Items

The bounded complex of a uniform affine oriented matroid is a ball, Random walks and hyperplane arrangements



Cites Work

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  • Posets, regular CW complexes and Bruhat order
  • Polarity and inner products in oriented matroids
  • Shellings of spheres and polytopes
  • Stellar subdivisions of boundary complexes of convex polytopes
  • On Lexicographically Shellable Posets
  • Shellable and Cohen-Macaulay Partially Ordered Sets
  • On Zonotopes
  • Shellable Decompositions of Cells and Spheres.
  • Dissections of convex sets and homotopy types of posets
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