A colorful theorem on transversal lines to plane convex sets

DOI10.1007/s00493-008-2385-yzbMath1164.52003OpenAlexW1999344612MaRDI QIDQ2377668

Jorge Luis Arocha, Luis Montejano, Javier Bracho

Publication date: 20 January 2009

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00493-008-2385-y

zbMATH Keywords

Hadwiger's transversal line theorem

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35)

Related Items (4)

Very colorful theorems ⋮ The colored Hadwiger transversal theorem in \(\mathbb{R}^d\) ⋮ Helly’s theorem: New variations and applications ⋮ Topology of geometric joins

Cites Work

• A topological colorful Helly theorem
• A generalization of Hadwiger's transversal theorem to intersecting sets
• Necessary and sufficient conditions for hyperplane transversals
• A generalization of Caratheodory's theorem
• Tverberg's theorem via number fields
• Hadwiger's Transversal Theorem In Higher Dimensions
• Colourful Linear Programming and its Relatives

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