The starshapedness number and a Krasnosel'skij-type theorem in a convexity space

DOI10.1007/BF01194302zbMath0636.52002OpenAlexW2028519561MaRDI QIDQ1098102

Krzysztof Kołodziejczyk

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194302

zbMATH Keywords

convexity spaceKrasnoselskij's theoremstarshapedness number

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Helly-type theorems and geometric transversal theory (52A35) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items

A refinement of Valentine's theorem ⋮ Starshaped sets ⋮ On starshapedness in products of interval spaces

Cites Work

• A refinement of Valentine's theorem
• Beziehungen zwischen den Sätzen von Radon, Helly und Caratheodory bei axiomatischen Konvexitäten
• Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers
• Krasnosel'skii Theorems for Non-Separating Compact Sets
• A Characterization Theorem for Bounded Starshaped Sets in the Plane
• On starshapedness of the union of closed sets in $R^n$
• A Krasnosel'skii-Type Theorem for Points of Local Nonconvexity
• A Proof of the Equivalence of Helly's and Krasnoselski's Theorems
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