The convex hull of a typical compact set

DOI10.1007/BF01462889zbMath0636.52004OpenAlexW2020305901MaRDI QIDQ1098103

John André Wieacker

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164487

zbMATH Keywords

extreme pointsconvex hullBaire categorytypical convex bodyboundary setstypical compact set

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (7)

Fractal boundaries are not typical ⋮ Dimension and structure of typical compact sets, continua and curves ⋮ On typical compact submanifolds of the Euclidean space ⋮ Typical elements and meager spaces ⋮ Generic dynamics on compact metric spaces ⋮ Generic properties of compact metric spaces ⋮ On typical sets in Banach spaces and a parametric Kuratowski-Ulam theorem

Cites Work

• Extremal structure of convex sets. II
• Families of compact sets and their universals
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