Planar sections of convex bodies and universal fibrations

DOI10.1023/B:JOTH.0000008766.10742.D5zbMath1074.52502OpenAlexW2040290720MaRDI QIDQ1781313

V. V. Makeev

Publication date: 23 June 2005

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

Full work available at URL: https://doi.org/10.1023/b:joth.0000008766.10742.d5

zbMATH Keywords

convex bodyaffine diameterplanar section

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) 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)

Related Items (7)

Simplexes in a normed space ⋮ Parallelepipeds and centrally symmetric hexagonal prisms circumscribed about a three-dimensional centrally symmetric convex body ⋮ Shadow boundaries of three-dimensional bodies of constant width ⋮ Some extremal problems for vector bundles ⋮ TOPOLOGICAL ASPECTS OF THE DVORETZKY THEOREM ⋮ Approximation of two-dimensional cross-sections of convex bodies by disks and ellipses ⋮ On approximation of a three-dimensional convex body by cylinders

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