Improved Krasnosel'skij theorems for the dimension of the kernel of a starshaped set

DOI10.1007/BF01224554zbMath0611.52006MaRDI QIDQ1087140

Marilyn Breen

Publication date: 1986

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

zbMATH Keywords

dimension of the kernel of a starshaped setKrasnosel'skij theorem

Mathematics Subject Classification ID

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

Related Items (5)

Dimensions of staircase kernels in orthogonal polygons ⋮ Solution of the problem of combinatorial characterization of the dimension of the kernel of a starshaped set ⋮ Starshaped sets ⋮ Determining dimension of the kernel of a cone ⋮ Finitely starlike sets whose F-stars have positive measure

Cites Work

• Points of local nonconvexity, clear visibility, and starshaped sets in \(R^ n\)
• Increasing unions of starlike sets
• Clear Visibility and the Dimension of Kernels of Starshaped Sets
• The dimension of intersections of convex sets
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