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Main Notation, Definitions, Auxiliary Results, and Examples

Chebyshev Alternation Theorem. Haar’s and Mairhuber’s Theorems

Best Approximation in Euclidean Spaces

Existence. Compact, Boundedly Compact, Approximatively Compact, and <inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>τ</mi></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula>-Compact Sets. Continuity of the Metric Projection

Characterization of Best Approximation and Solar Properties of Sets

Convexity of Chebyshev Sets and Suns

Connectedness and Approximative Properties of Sets. Stability of the Metric Projection and Its Relation to Other Approximative Properties

Existence of Chebyshev Subspaces

Efimov–Stechkin Spaces. Uniform Convexity and Uniform Smoothness. Uniqueness and Strong Uniqueness of Best Approximation in Uniformly Convex Spaces

Solarity of Chebyshev Sets

Rational Approximation

Haar Cones and Varisolvency

Approximation of Vector-Valued Functions

The Jung Constant

Chebyshev Centre of a Set. The Problem of Simultaneous Approximation of a Class by a Singleton Set

Width. Approximation by a Family of Sets

Approximative Properties of Arbitrary Sets in Normed Linear Spaces. Almost Chebyshev Sets and Sets of Almost Uniqueness