Carathéodory-type theorems à la Bárány

DOI10.1007/s00454-010-9290-zzbMath1235.52013OpenAlexW2077884738MaRDI QIDQ629836

Javier Bracho, Ricardo Strausz, Jürgen Bokowski

Publication date: 10 March 2011

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-010-9290-z

zbMATH Keywords

oriented matroidsabstract convexityHelly-type theoremsCarathéodory-type theoremscolourful theoremsseparoids

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Oriented matroids in discrete geometry (52C40)

Related Items (2)

Tropical Carathéodory with matroids ⋮ The intersection of a matroid and an oriented matroid

Cites Work

• Points surrounding the origin
• A generalization of Caratheodory's theorem
• Oriented matroids
• Tight and untight triangulations of surfaces by complete graphs
• Very colorful theorems
• Erdős-Szekeres ``happy end-type theorems for separoïds
• Two geometric representation theorems for separoids
• Tverberg-type theorems for separoids
• Homomorphisms of separoids
• Oriented Matroids
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