New proofs for some results on spherically convex sets

zbMath1503.52016arXiv2103.04455MaRDI QIDQ5055084

Constantin Zalinescu

Publication date: 12 December 2022

Full work available at URL: https://arxiv.org/abs/2103.04455

zbMATH Keywords

separation theoremspherical convexityCarathéodory theoremHelly theorem

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Intersections of convex cones
• Width of spherical convex bodies
• Projections onto convex sets on the sphere
• Über eine Übertragung des Hellyschen Satzes in Sphärische Räume
• A Helly-type theorem on a sphere
• Intersection Theorems for Positive Sets
• Convex Analysis
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