No Helly theorem for stabbing translates by lines in \(\mathbb{R}^3\)
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Publication:701792
DOI10.1007/s00454-003-0796-5zbMath1059.52011OpenAlexW1995282497MaRDI QIDQ701792
Andreas F. Holmsen, Ji{ří} Matoušek
Publication date: 16 December 2004
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-003-0796-5
Convex sets in (3) dimensions (including convex surfaces) (52A15) Helly-type theorems and geometric transversal theory (52A35)
Related Items (11)
INFLATING BALLS IS NP-HARD ⋮ Lines pinning lines ⋮ Pinning a line by balls or ovaloids in \(\mathbb R^{3}\) ⋮ Helly numbers of acyclic families ⋮ Lower bounds to Helly numbers of line transversals to disjoint congruent balls ⋮ Line transversals to disjoint balls ⋮ Helly-type theorems for line transversals to disjoint unit balls ⋮ Some Discrete Properties of the Space of Line Transversals to Disjoint Balls ⋮ The \(T(4)\) property of families of unit disks ⋮ On the transversal number and VC-dimension of families of positive homothets of a convex body ⋮ Lower Bounds for Pinning Lines by Balls (Extended Abstract)
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