An analogue of the Krein-Milman theorem for star-shaped sets

zbMath1043.52006MaRDI QIDQ1403511

Walter Wenzel, Horst Martini

Publication date: 2 September 2003

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/123722

zbMATH Keywords

convex setsclosure operatorsKrein-Milman theoremstar-shaped setsillumination problemsvisibility problemswatchman route problem

Mathematics Subject Classification ID

Other problems of combinatorial convexity (52A37) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (5)

Starshapedness vs. convexity ⋮ Starshaped sets ⋮ A note on the boundary of the joint numerical range ⋮ 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

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