Points of local nonconvexity, clear visibility, and starshaped sets in \(R^ n\)

DOI10.1007/BF01918129zbMath0525.52011MaRDI QIDQ585530

Marilyn Breen

Publication date: 1983

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

zbMATH Keywords

local nonconvexitylocally starshaped setvisible point

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (5)

Improved Krasnosel'skij theorems for the dimension of the kernel of a starshaped set ⋮ Solution of the problem of combinatorial characterization of the dimension of the kernel of a starshaped set ⋮ Staircase kernels for orthogonal \(d\)-polytopes ⋮ Starshaped sets ⋮ Infinite-dimensional Krasnosel'skii-type criteria for cones

Cites Work

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• A Krasnosel'skii-Type Theorem for Points of Local Nonconvexity
• Clear Visibility and the Dimension of Kernels of Starshaped Sets
• The Dimension of the Convex Kernel of a Compact Starshaped Set
• Local Convexity and L n Sets
• The Dimension of the Convex Kernel and Points of Local Nonconvexity

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