A ``hidden characterization of approximatively polyhedral convex sets in Banach spaces

DOI10.4064/SM210-2-3zbMath1268.52001arXiv1111.6708OpenAlexW2963582105MaRDI QIDQ2907266

Taras Banakh, Ivan Hetman

Publication date: 7 September 2012

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6708

zbMATH Keywords

Hausdorff metricpolyhedral convex setspace of closed convex setsapproximatively polyhedral convex setinfinitely hiding convex setpositively hiding convex set

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Other problems of combinatorial convexity (52A37) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Approximation by convex sets (52A27)

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