The Dimension of the Convex Kernel and Points of Local Nonconvexity

DOI10.2307/2037933zbMath0235.52004OpenAlexW4238506887MaRDI QIDQ5644707

Nick M. Stavrakas

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2037933

Mathematics Subject Classification ID

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

Related Items (13)

A Krasnosel'skij-type theorem in the plane involving polygonal \(n\)-paths ⋮ Critical visibility and outward rays ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ Dimension theory ⋮ Starshaped sets ⋮ A Characterization Theorem for Bounded Starshaped Sets in the Plane ⋮ Clear Visibility and the Dimension of Kernels of Starshaped Sets ⋮ Clear visibility strikes again ⋮ On the polygonal connectivity of polyhedra and the closure of open connected sets ⋮ Points of local nonconvexity, clear visibility, and starshaped sets in \(R^ n\) ⋮ Increasing unions of starlike sets ⋮ Clear visibility, starshaped sets, and finitely starlike sets ⋮ The visibility function revisited

Cites Work

• Sets with zero-dimensional kernels
• Local Convexity and L n Sets
• Convex Components, Extreme Points, and the Convex Kernel
• Characterizations of the Generalized Convex Kernel

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