Ball intersection properties in metric spaces

DOI10.1142/s1793525321500400zbMath1525.51009arXiv1610.03307OpenAlexW3158525879MaRDI QIDQ6082704

Maël Pavón, Benjamin Miesch

Publication date: 30 October 2023

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03307

zbMATH Keywords

bicombingsintersection propertyhyperconvex metric spacesHellyinjective metric spaces4-hyperconvexityexternal hyperconvexityweak external hyperconvexity

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Metric geometry (51F99) Projective and injective objects in functional analysis (46M10) Helly-type theorems and geometric transversal theory (52A35)

Cites Work

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• Flats in spaces with convex geodesic bicombings
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Extension of compact mappings and \(\aleph_0\)-hyperconvexity
• The Cartan-Hadamard theorem for metric spaces with local geodesic bicombings
• Gluing hyperconvex metric spaces
• Conical geodesic bicombings on subsets of normed vector spaces
• Convex geodesic bicombings and hyperbolicity
• INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS
• Intersections of translates of convex bodies
• Hyperconvexity and approximate fixed points
• Weakly externally hyperconvex subsets and hyperconvex gluings
• Extension of compact operators
• A Theorem of the Hahn-Banach Type for Linear Transformations

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