A multi-plank generalization of the Bang and Kadets inequalities

DOI10.1007/s11856-021-2210-5zbMath1480.52003arXiv2003.06707OpenAlexW3207364047MaRDI QIDQ2066135

Alexey Balitskiy

Publication date: 13 January 2022

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

Full work available at URL: https://arxiv.org/abs/2003.06707

zbMATH Keywords

subadditivitygeneralized non-convex multi-planks

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

A generalization of Bang’s lemma ⋮ A cap covering theorem

Cites Work

• The extremal spheres theorem
• Kadets-type theorems for partitions of a convex body
• The plank problem for symmetric bodies
• Intrinsic volumes and successive radii
• A generalization of Steinhagen's theorem
• Covering an annulus by strips
• Proof of László Fejes Tóth's zone conjecture
• Radii of regular polytopes
• Conway's fried potato problem revisited
• Discrete Geometry and Algebraic Combinatorics
• On W. Fenchel's solution of the plank problem
• Estimating sizes of a convex body by successive diameters and widths
• Coverings by convex bodies and inscribed balls
• A Solution of Conway's Fried Potato Problem
• A Problem About Lines and Ovals
• A Solution of the "Plank Problem"

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