INTERSECTIONS OF BALLS AND SETS OF CONSTANT WIDTH IN FINITE‐DIMENSIONAL NORMED SPACES

DOI10.1112/S0025579313000041zbMath1278.52002OpenAlexW2062026624MaRDI QIDQ5326095

Christian Richter, Margarita Spirova, Horst Martini

Publication date: 31 July 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579313000041

zbMATH Keywords

constant widthcomplete setball hullBorsuk numberball intersection

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Ball convex bodies in Minkowski spaces ⋮ Uniqueness of completions and related topics ⋮ Complete sets and completion of sets in Banach spaces ⋮ Complete sets in normed linear spaces ⋮ Successive radii and ball operators in generalized Minkowski spaces ⋮ Volumetric bounds for intersections of congruent balls in Euclidean spaces

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