On local properties of spaces implying monotone path-connectedness of suns

DOI10.1007/s41478-023-00564-9OpenAlexW4323923682MaRDI QIDQ6198501

Alexey R. Alimov

Publication date: 23 February 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-023-00564-9

zbMATH Keywords

sunmonotone path-connected set(BM)-space(BM)-pointacting point

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Separation of convex sets by extreme hyperplanes
• Suns in normed linear spaces which are finite dimensional
• Differentiability of distance function and the proximinal condition implying convexity
• Properties of monotone connected sets
• Finite-dimensional spaces where the class of Chebyshev sets coincides with the class of closed and monotone path-connected sets
• Geometry of the singular set of hypersurfaces and the eikonal equation
• Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces
• Monotone path-connectedness of strict suns
• Properties of suns in the spaces \(L^1\) and \(C(Q)\)
• Banach space theory. The basis for linear and nonlinear analysis
• Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\)
• Connectedness and solarity in problems of best and near-best approximation
• Properties of monotone path-connected sets
• Monotone path-connectedness of Chebyshev sets in three-dimensional spaces
• Geometric Approximation Theory
• Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces
• On the structure of the complements of Chebyshev sets

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