k-dimensional intersections of convex sets and convex kernels

DOI10.1016/S0012-365X(81)80019-2zbMath0464.52005OpenAlexW2071570551MaRDI QIDQ1154127

Marilyn Breen

Publication date: 1981

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(81)80019-2

zbMATH Keywords

linear topological spaceconvex kernels in linear convex setsk-dimensional intersections of linear spaces

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Krasnosel'skij numbers for bounded finitely starlike sets in \({\mathbb{R}}^ d\) ⋮ Starshaped sets ⋮ Clear Visibility and the Dimension of Kernels of Starshaped Sets ⋮ Finitely starlike sets whose F-stars have positive measure

Cites Work

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• The dimension of kernel of a planar set
• A Helly-Type Theorem for the Dimension of the Kernel of a Starshaped Set
• The Dimension of the Convex Kernel of a Compact Starshaped Set
• The dimension of intersections of convex sets

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