Finite-dimensional spaces where the class of Chebyshev sets coincides with the class of closed and monotone path-connected sets

DOI10.1134/S000143462203018XzbMath1504.46014OpenAlexW4224879230MaRDI QIDQ2133833

Borislav Borisovich Bednov

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462203018x

zbMATH Keywords

convexitysmoothnessChebyshev setmonotone path-connectedness

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20)

Related Items

Three-dimensional spaces where all bounded Chebyshev sets are monotone path connected ⋮ On local properties of spaces implying monotone path-connectedness of suns

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On suns and cosuns in finite dimensional normed real vector spaces
• Connectedness and solarity in problems of best and near-best approximation
• On the convexity of $ N$-Chebyshev sets
• Monotone path-connectedness of Chebyshev sets in the space $ C(Q)$
• Convexity of 2-Chebyshev sets in Hilbert space
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Convexity of Chebyshev sets with respect to tangent directions
• Monotone path-connectedness of Chebyshev sets in three-dimensional spaces
• Approximative properties of sets and continuous selections
• Weakly monotone sets and continuous selection in asymmetric spaces