Solution of the problem of combinatorial characterization of the dimension of the kernel of a starshaped set

DOI10.1007/BF01224037zbMath0831.52003MaRDI QIDQ1895159

Jarosław Cel

Publication date: 20 February 1996

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

visibilitystar shaped setKrasnosel'skii type theorem

Mathematics Subject Classification ID

Other problems of combinatorial convexity (52A37) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (3)

Starshaped sets ⋮ Sets which are almost starshaped ⋮ Representations of starshaped sets in normed linear spaces

Cites Work

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• Points of local nonconvexity, clear visibility, and starshaped sets in \(R^ n\)
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• Unsolved problems in geometry
• Clear visibility strikes again
• Infinite-dimensional Krasnosel'skii-type criteria for cones
• Increasing unions of starlike sets
• Clear visibility, starshaped sets, and finitely starlike sets
• Points of local nonconvexity and sets which are almost starshaped
• A Weak Krasnosel'skii Theorem in R d
• The structure of semispaces
• A Characterization Theorem for Bounded Starshaped Sets in the Plane
• A Krasnosel'skii-Type Theorem for Points of Local Nonconvexity
• The Dimension of the Convex Kernel of a Compact Starshaped Set
• Local Convexity and L n Sets
• Radial Functions of Convex and Star-Shaped Bodies
• On Certain Intersection Properties of Convex Sets
• The dimension of intersections of convex sets

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