Generalized convex envelopes of sets and the problem of shadow

DOI10.1007/s10958-015-2626-8zbMath1335.52013OpenAlexW2279983354MaRDI QIDQ905437

Yuriy Borisovich Zelins'kyi

Publication date: 19 January 2016

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

Full work available at URL: https://doi.org/10.1007/s10958-015-2626-8

zbMATH Keywords

sphereEuclidean spaceballconvex envelopelinear convexityproblem of shadow

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

The problem of shadow for balls with fixed radius ⋮ Some generalizations of the shadow problem in the Lobachevsky space ⋮ Shadow Problem for the Tangent Bundle of Straight Lines on a Sphere ⋮ Problem of shadow in the Lobachevskii space

Cites Work

• Zur Theorie der Funktionen mehrerer komplexer Veränderlichen. Konvexität in bezug auf analytische Ebenen im kleinen und großen
• Complex convexity and analytic functionals
• Sur la topologie des espaces de fonctions holomorphes
• Convex functions and upper semi-continuous collections
• Shadow's problem
• Notions of convexity
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