Geometry of finite-dimensional normed spaces and continuous functions on the Euclidean sphere

DOI10.1007/s10958-007-0438-1zbMath1151.46304OpenAlexW2031015306MaRDI QIDQ2492003

V. V. Makeev

Publication date: 31 May 2006

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

Full work available at URL: https://eudml.org/doc/227166

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (1)

Characterizations of \(l_\infty^n\) and \(l_1^n\), and their stabilities

Cites Work

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• New sets with large Borsuk numbers
• The Knaster problem and the geometry of high-dimensional cubes
• The Knaster problem: more counterexamples
• Continuous functions defined on spheres
• An antipodal-point, orthogonal-point theorem
• Inscribing cubes and covering by rhombic dodecahedra via equivariant topology

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