Monotone and Čebyšev arcs in hyperspaces

DOI10.1007/s00022-010-0044-0zbMath1213.41017OpenAlexW2047494160WikidataQ60691893 ScholiaQ60691893MaRDI QIDQ622540

Robert J. MacG. Dawson

Publication date: 3 February 2011

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-010-0044-0

zbMATH Keywords

convex bodycommon supportaffine segmentČebyšev setmonotone arcstrictly convex bodystrongly nested family

Mathematics Subject Classification ID

Uniqueness of best approximation (41A52) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Uses Software

• OEIS

Cites Work

• Convexity of Chebyshev sets
• Families of bodies with definite common supports
• On separated families of convex bodies
• Curvature Measures
• Čebyšev Sets in Hyperspaces over Rⁿ
• Chebyshev sets in hyperspaces over a Minkowski space
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