Some properties of median metric spaces
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Publication:260117
DOI10.4171/GGD/350zbMath1376.20044OpenAlexW2327947115MaRDI QIDQ260117
Publication date: 18 March 2016
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/ggd/350
Geometric group theory (20F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (14)
Morse quasiflats. I ⋮ Flats in spaces with convex geodesic bicombings ⋮ Coarse median algebras: the intrinsic geometry of coarse median spaces and their intervals ⋮ Coarse median structures and homomorphisms from Kazhdan groups ⋮ Large-scale rigidity properties of the mapping class groups ⋮ Roller boundaries for median spaces and algebras ⋮ Coarse-median preserving automorphisms ⋮ Homotopy equivalent boundaries of cube complexes ⋮ Median pretrees and functions of bounded variation ⋮ Median and injective metric spaces ⋮ Large-scale rank and rigidity of the Teichmüller metric ⋮ Superrigidity of actions on finite rank median spaces ⋮ The Tits alternative for finite rank median spaces ⋮ Large-scale rank and rigidity of the Weil-Petersson metric
Cites Work
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- Gromov's theorem on groups of polynomial growth and elementary logic
- Kazhdan and Haagerup properties from the median viewpoint.
- Higher connectedness of asymptotic cones.
- Large-scale rigidity properties of the mapping class groups
- Median algebras
- Coarse median spaces and groups.
- Graphs of some CAT(0) complexes
- Embedding median algebras in products of trees.
- Median structures on asymptotic cones and homomorphisms into mapping class groups
- Centroids and the rapid decay property in mapping class groups
- Large-scale rank and rigidity of the Teichmüller metric
- Medians and Betweenness
- Mapping class groups are automatic
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