Helly-Type Theorems for Roughly Convex-Like Sets

DOI10.1080/01630560701348426zbMath1122.52005OpenAlexW2008950554WikidataQ57659450 ScholiaQ57659450MaRDI QIDQ5297948

Phan Thanh An

Publication date: 16 July 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701348426

zbMATH Keywords

generalized convexityHelly's theoremset of constant widthroughly convex-like sets

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Helly-type theorems and geometric transversal theory (52A35)

Related Items (1)

Some Computational Aspects of Geodesic Convex Sets in a Simple Polygon

Cites Work

• Unsolved problems in geometry
• Any New Helly Numbers?
• Are Disjoint Convex Coverings of a Convex Set Diametrically Optimal?
• Optimization of Globally Convex Functions
• Some Geometrical Properties of Outer γ-Convex Sets
• δ-Convexity in Normed Linear Spaces
• The Critical Set of a Convex Body

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