A connected compact locally Chebyshev set in a finite-dimensional space is a Chebyshev set

DOI10.1070/SM9227zbMath1471.41015OpenAlexW2983663156MaRDI QIDQ5112436

Konstantin S. Shklyaev

Publication date: 29 May 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9227

zbMATH Keywords

coveringhomotopymetric projectionChebyshev setChebyshev layer

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Locally Chebyshev sets on the plane
• Connectedness and solarity in problems of best and near-best approximation
• Homotopical Topology
• On the connectedness of boundary and complement for domains
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• A proof of the generalized Schoenflies theorem
• Sets with external Chebyshev layer
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