Three-dimensional spaces where all bounded Chebyshev sets are monotone path connected

DOI10.1134/s0001434623090018MaRDI QIDQ6084890

Borislav Borisovich Bednov

Publication date: 7 November 2023

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

zbMATH Keywords

Chebyshev setbounded Chebyshev setmonotone path connected set

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46Bxx) General convexity (52Axx) Approximations and expansions (41Axx)

Cites Work

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• Chebyshev Sets and Facial Systems of Convex Sets in Finite-Dimensional Spaces
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Properties of monotone path-connected sets
• Monotone path-connectedness of Chebyshev sets in three-dimensional spaces
• Convex Sets and Chebyshev Sets II.
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