On \(\mathbb R_p^n\)-analog of the Borsuk problem

DOI10.1007/s10958-012-1110-yzbMath1287.51007OpenAlexW2475118240MaRDI QIDQ1945778

Aleksandr Yur'evich Ivanov

Publication date: 9 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1110-y

zbMATH Keywords

Hölder normdiameterconvex setconstant-width figurepartition of sets into parts of smaller diameter

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) General theory of distance geometry (51K05)

Related Items (2)

Analog of Borsuk's problem on Banach spaces ⋮ Complete sets in normed linear spaces

Cites Work

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• New sets with large Borsuk numbers
• Sets of constant width in finite dimensional Banach spaces
• Convex functions and upper semi-continuous collections
• Überdeckung einer Menge durch Mengen kleineren Durchmessers
• A counterexample to Borsuk’s conjecture
• Convex Analysis
• Covering a Three-Dimensional set with Sets of Smaller Diameter

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