An extension of Jung's theorem

DOI10.1007/BF02761397zbMath0574.52012OpenAlexW2355446191MaRDI QIDQ1063878

Boris V. Dekster

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761397

zbMATH Keywords

diameterconvex setcircumradiusinradiussimplicesminimal widthHelly type theoremtheorem of Jung

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

The Jung theorem for spherical and hyperbolic spaces ⋮ Large spherical simplexes ⋮ The Jung Theorem in metric spaces of curvature bounded above ⋮ ON A STRONG VERSION OF THE KEPLER CONJECTURE

Cites Work

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• A family of inequalities for convex sets
• SETS OF CONSTANT WIDTH AND INEQUALITIES
• Two inequalities for convex sets in the plane

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