Morris's pigeonhole principle and the Helly theorem for unions of convex sets

DOI10.1112/blms/bdp024zbMath1181.52011OpenAlexW2034311662MaRDI QIDQ3395230

Jürgen Eckhoff, Klaus-Peter Nischke

Publication date: 24 August 2009

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdp024

zbMATH Keywords

Helly-type theoremsgeneralized pigeonhole principle

Mathematics Subject Classification ID

Partitions of sets (05A18) Axiomatic and generalized convexity (52A01) Helly-type theorems and geometric transversal theory (52A35)

Related Items (5)

Bounding Helly Numbers via Betti Numbers ⋮ Helly’s theorem: New variations and applications ⋮ Helly numbers of acyclic families ⋮ The axiomatics of ordered geometry: I. Ordered incidence spaces ⋮ Helly-type problems

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