Strongly proximinal subspaces of finite codimension in C(K)

S. Dutta; Darapaneni Narayana

Displaying similar documents to “Strongly proximinal subspaces of finite codimension in C(K)”

Metric projections of closed subspaces of c₀ onto subspaces of finite codimension

V. Indumathi (2004)

Colloquium Mathematicae

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Let X be a closed subspace of c₀. We show that the metric projection onto any proximinal subspace of finite codimension in X is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.

Gluing Hyperconvex Metric Spaces

Benjamin Miesch (2015)

Analysis and Geometry in Metric Spaces

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We investigate how to glue hyperconvex (or injective) metric spaces such that the resulting space remains hyperconvex. We give two new criteria, saying that on the one hand gluing along strongly convex subsets and on the other hand gluing along externally hyperconvex subsets leads to hyperconvex spaces. Furthermore, we show by an example that these two cases where gluing works are opposed and cannot be combined.

On Hausdorff intrinsic metric.

Sosov, E.N. (2001)

Lobachevskii Journal of Mathematics

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Closed Formulae for the Strong Metric Dimension of Lexicographi

Dorota Kuziak, Ismael G. Yero, Juan A. Rodríguez-Velázquez (2016)

Discussiones Mathematicae Graph Theory

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Given a connected graph G, a vertex w ∈ V (G) strongly resolves two vertices u, v ∈ V (G) if there exists some shortest u − w path containing v or some shortest v − w path containing u. A set S of vertices is a strong metric generator for G if every pair of vertices of G is strongly resolved by some vertex of S. The smallest cardinality of a strong metric generator for G is called the strong metric dimension of G. In this paper we obtain several relationships between the strong metric...