Three points do not determine a (pseudo-) plane

DOI10.1016/0097-3165(81)90017-0zbMath0479.51002OpenAlexW1987391904MaRDI QIDQ1161993

Richard Pollack, Jacob E. Goodman

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0097-3165(81)90017-0

zbMATH Keywords

arrangement of pseudolinestopological planes

Mathematics Subject Classification ID

Configuration theorems in linear incidence geometry (51A20) Topological linear incidence structures (51H10)

Related Items

Vapnik-Chervonenkis dimension and (pseudo-)hyperplane arrangements, Oriented matroids with few mutations, Sweeps, arrangements and signotopes, On the complexity of the \(k\)-level in arrangements of pseudoplanes, Semispaces of configurations, cell complexes of arrangements

Cites Work

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• Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines
• Helly-type theorems for pseudoline arrangments in \(P^ 2\).
• Oriented matroids
• Orientability of matroids
• Simple points in pseudoline arrangements