Coverings by convex bodies and inscribed balls

DOI10.1090/S0002-9939-04-07650-6zbMath1067.52008arXivmath/0312133OpenAlexW2591886761MaRDI QIDQ4654069

Vladimir Kadets

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312133

zbMATH Keywords

coveringHilbert spaceinradius

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Other problems of combinatorial convexity (52A37)

Related Items (9)

A generalization of Bang’s lemma ⋮ Proof of László Fejes Tóth's zone conjecture ⋮ Optimal divisions of a convex body ⋮ THERE ARE NO INTERMEDIATE STRUCTURES BETWEEN THE GROUP OF INTEGERS AND PRESBURGER ARITHMETIC ⋮ Kadets-type theorems for partitions of a convex body ⋮ Volumetric bounds for intersections of congruent balls in Euclidean spaces ⋮ A cap covering theorem ⋮ A multi-plank generalization of the Bang and Kadets inequalities ⋮ Selected Open Problems in Discrete Geometry and Optimization

Cites Work

• The plank problem for symmetric bodies
• A Solution of the "Plank Problem"
• Unnamed Item

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