Chebyshev Sets and Facial Systems of Convex Sets in Finite-Dimensional Spaces

DOI10.1112/plms/s3-41.2.297zbMath0419.41025OpenAlexW2094487421MaRDI QIDQ3852625

Aldric L. Brown

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1112/plms/s3-41.2.297

zbMATH Keywords

convex setsVietoris-Begle theoremduality in manifoldsset-valued retractions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Sheaf cohomology in algebraic topology (55N30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Three-dimensional spaces where all bounded Chebyshev sets are monotone path connected ⋮ On the convexity of the weakly compact Chebyshev sets in Banach spaces ⋮ A Chebyshev set and its distance function

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