Clear visibility, starshaped sets, and finitely starlike sets

DOI10.1007/BF01930879zbMath0507.52007MaRDI QIDQ1837395

Marilyn Breen

Publication date: 1982

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

zbMATH Keywords

Krasnosel'skii-type theoremsnoncompact starshaped sets

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) 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 (7)

Solution of the problem of combinatorial characterization of the dimension of the kernel of a starshaped set ⋮ Some Krasnosel'skij numbers for finitely starlike sets in the plane ⋮ No Krasnosel'skiĭ number for general sets ⋮ Starshaped sets ⋮ Finitely starlike sets whose F-stars have positive measure ⋮ Increasing unions of starlike sets ⋮ Infinite-dimensional Krasnosel'skii-type criteria for cones

Cites Work

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• The dimension of kernel of a planar set
• Points of local nonconvexity and sets which are almost starshaped
• The structure of semispaces
• A Krasnosel'skii-Type Theorem for Points of Local Nonconvexity
• The Dimension of the Convex Kernel of a Compact Starshaped Set
• Intersections of Maximal Starshaped Sets
• The Dimension of the Convex Kernel and Points of Local Nonconvexity

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