Properties of monotone connected sets

DOI10.1134/S0001434621050138zbMath1479.46018OpenAlexW3181334512MaRDI QIDQ2037728

I. G. Tsar'kov

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1134/s0001434621050138

zbMATH Keywords

sunMenger-connected setMenger-monotone set

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\) ⋮ On local properties of spaces implying monotone path-connectedness of suns

Cites Work

• New criteria for the existence of a continuous \(\epsilon\)-selection
• Die Metrische Struktur der Sonnen in \(l_{\infty}(n)\)
• Suns in normed linear spaces which are finite dimensional
• Continuous \(\epsilon\)-selection and monotone path-connected sets
• Connectedness and solarity in problems of best and near-best approximation
• Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces
• Approximative properties of sets and continuous selections
• Chebyshev centres, Jung constants, and their applications
• Unnamed Item

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