Convex bodies with almost all k-dimensional sections polytopes

DOI10.1017/S0305004100057741zbMath0464.52001OpenAlexW2117485181MaRDI QIDQ3915561

Leoni Dalla, David G. Larman

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100057741

zbMATH Keywords

extreme pointsconvex bodyHausdorff measure

Mathematics Subject Classification ID

Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polytopes and polyhedra (52Bxx)

Cites Work

• Some characterizations of convex polyhedra
• Hausdorff dimension, orthogonal projections and intersections with planes
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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