The \(T(4)\) property of families of unit disks

DOI10.1007/s11856-008-1066-2zbMath1165.52003OpenAlexW2047598990MaRDI QIDQ1001429

Deborah Oliveros, Tibor Bisztriczky, Ferenc Fodor

Publication date: 17 February 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1066-2

zbMATH Keywords

transversalsplanar convex bodies\(T(n)\) property

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Helly-type theorems and geometric transversal theory (52A35)

Cites Work

• No Helly theorem for stabbing translates by lines in \(\mathbb{R}^3\)
• Über einen Satz Hellyscher Art
• On common transversals
• Proof of Grünbaum's conjecture on common transversals for translates
• A Helly-type theorem for line transversals to disjoint unit balls
• On the Helly number for hyperplane transversals to unit balls
• Geometric permutations of disjoint unit spheres
• Line transversals to unit disks
• A transversal property of families of eight or nine unit disks
• Helly-type theorems for line transversals to disjoint unit balls
• A Helly-type transversal theorem for \(n\)-dimensional unit balls
• Transversalenprobleme in der Ebene
• Large transversals to small families of unit disks
• The width of the transversal strips of \(T\)(3)-families in the plane
• Common Transversals for Families of Sets†
• Cutting Families of Convex Sets
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