The slimmest arrangements of hyperplanes: II. Basepointed geometric lattices and Euclidean arrangements

DOI10.1112/S0025579300010226zbMath0483.51012MaRDI QIDQ3941970

Thomas Zaslavsky

Publication date: 1981

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

arrangement of hyperplanesgeometric latticeWhitney number

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (2)

Modifications of hyperplane arrangements ⋮ On geometric semilattices

Cites Work

• Arrangements of planes in space
• A lower bound on the number of cells in arrangements of hyperplanes
• Connected matroids with the smallest Whitney numbers
• Projectivities in realtively complemented lattices
• Whitney Number Inequalities for Geometric Lattices
• The Slimmest Geometric Lattices
• A higher invariant for matroids
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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