Median and injective metric spaces

DOI10.1017/S0305004118000555zbMath1432.54026OpenAlexW2884554218WikidataQ114116797 ScholiaQ114116797MaRDI QIDQ5207971

Brian H. Bowditch

Publication date: 14 January 2020

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004118000555

zbMATH Keywords

asymptotic conescube complexesbinary intersection propertybilipschitz equivalentinjective metricfinite median algebrasmedian metric

Mathematics Subject Classification ID

Complete metric spaces (54E50) Metric spaces, metrizability (54E35)

Related Items (5)

Unbounded domains in hierarchically hyperbolic groups ⋮ Injective metrics on buildings and symmetric spaces ⋮ Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity ⋮ Balanced measures on compact median algebras ⋮ Automatic continuity for groups whose torsion subgroups are small

Cites Work

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• Large-scale rigidity properties of the mapping class groups
• Median algebras
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• Graphs of some CAT(0) complexes
• Gluing hyperconvex metric spaces
• Embedding median algebras in products of trees.
• Six theorems about injective metric spaces
• INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS
• Median structures on asymptotic cones and homomorphisms into mapping class groups
• An Injective Metrization for Collapsible Polyhedra
• Collapsible polyhedra and median spaces

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