Quantitative Steinitz theorem: A polynomial bound

DOI10.1112/blms.12965arXiv2212.04308OpenAlexW4389310671MaRDI QIDQ6190529

Márton Naszódi, Grigory M. Ivanov

Publication date: 5 March 2024

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

Full work available at URL: https://arxiv.org/abs/2212.04308

zbMATH Keywords

Steinitz theorem

Mathematics Subject Classification ID

Approximation by convex sets (52A27) Helly-type theorems and geometric transversal theory (52A35)

Cites Work

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• Quantitative combinatorial geometry for continuous parameters
• Quantitative Steinitz's theorems with applications to multifingered grasping
• On the exact constant in the quantitative Steinitz theorem in the plane
• On the quantitative Steinitz theorem in the plane
• A sharp combinatorial version of Vaaler's theorem
• Quantitative Helly-Type Theorems
• A Quantitative Helly-Type Theorem: Containment in a Homothet
• Quantitative Helly-type theorems via sparse approximation

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