Borsuk's partition problem in \((\mathbb{R}^n,\ell_p)\)

DOI10.1134/S0001434622010321zbMath1484.52003OpenAlexW4213444504MaRDI QIDQ2113429

Jun Wang, Yu-Qin Zhang

Publication date: 14 March 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622010321

zbMATH Keywords

coveringMinkowski spaceBorsuk's partition problem\(K^n_p, \ell_p\) norm

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Configuration theorems in linear incidence geometry (51A20)

Related Items (1)

Complete sets in normed linear spaces

Cites Work

• Diametrically complete sets in Minkowski spaces
• A quantitative program for Hadwiger's covering conjecture
• The geometry of Minkowski spaces -- a survey. II.
• Ein geometrisches Überdeckungsproblem
• A counterexample to Borsuk’s conjecture
• Drei Sätze über die n-dimensionale euklidische Sphäre
• Solution of Hadwiger's Covering Problem for Centrally Symmetric Convex Bodies in E ³
• Covering a Three-Dimensional set with Sets of Smaller Diameter
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