Asymptotic rank of spaces with bicombings

DOI10.1007/s00209-016-1680-3zbMath1360.53078arXiv1510.05393OpenAlexW2220704553MaRDI QIDQ343621

Dominic Descombes

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05393

zbMATH Keywords

asymptotic rankbicombing

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (9)

Flats in spaces with convex geodesic bicombings ⋮ Mini-workshop: Nonpositively curved complexes. Abstracts from the mini-workshop held February 7--13, 2021 (online meeting) ⋮ Fixed point theorems for metric spaces with a conical geodesic bicombing ⋮ Characterizations of higher rank hyperbolicity ⋮ Conical geodesic bicombings on subsets of normed vector spaces ⋮ Borsuk–Dugundji type extension theorems with Busemann convex target spaces ⋮ Unnamed Item ⋮ Helly meets Garside and Artin ⋮ Higher rank hyperbolicity

Cites Work

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• Flats in spaces with convex geodesic bicombings
• The asymptotic rank of metric spaces
• Kazhdan and Haagerup properties from the median viewpoint.
• The local structure of length spaces with curvature bounded above
• Existence of flats in manifolds of nonpositive curvature
• Convex geodesic bicombings and hyperbolicity
• Spaces with non-positive curvature
• An L¹ ergodic theorem with values in a non-positively curved space via a canonical barycenter map

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