A characterization of convex sets via visibility

DOI10.1007/s00010-002-8036-2zbMath1013.52005OpenAlexW1997533365MaRDI QIDQ1849457

Horst Martini, Walter Wenzel

Publication date: 1 December 2002

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-002-8036-2

zbMATH Keywords

convex setsclosure operatorcompact setsconnected setsillumination problemsvisibility problems

Mathematics Subject Classification ID

Fuzzy topology (54A40) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to convex and discrete geometry (52-01)

Related Items (5)

Starshapedness vs. convexity ⋮ Starshaped sets ⋮ Generating a staircase starshaped set and its kernel in \({{\mathbb R}^3}\) from certain staircase convex subsets ⋮ Generating a staircase starshaped set from a minimal collection of its subsets ⋮ Visibility and diameter maximization of convex bodies

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