31 citations · 45 across the 9 of their papers we have counts for
12 papers
A combinatorial higher-rank hyperbolicity condition
Martina Jørgensen, Urs Lang
We investigate a coarse version of a -point inequality characterizing metric spaces of combinatorial dimension at most due to Dress. This condition, experimentally call…
Characterizations of higher rank hyperbolicity
Tommaso Goldhirsch, Urs Lang
The concept of Gromov hyperbolicity manifests itself in many different ways. With only mild assumptions on the underlying metric space, the spectrum of equivalent properties includ…
Geodesic spaces of low Nagata dimension
Martina Jørgensen, Urs Lang
We show that every geodesic metric space admitting an injective continuous map into the plane as well as every planar graph has Nagata dimension at most two, hence asymptotic dimen…
Higher rank hyperbolicity
Bruce Kleiner, Urs Lang
The large-scale geometry of hyperbolic metric spaces exhibits many distinctive features, such as the stability of quasi-geodesics (the Morse Lemma), the visibility property, and th…
Flats in spaces with convex geodesic bicombings
Dominic Descombes, Urs Lang
In spaces of nonpositive curvature the existence of isometrically embedded flat (hyper)planes is often granted by apparently weaker conditions on large scales. We show that some su…
Lipschitz extensions of maps between Heisenberg groups
Zoltan Balogh, Urs Lang, Pierre Pansu
Let $\H^n$ be the Heisenberg group of topological dimension . We prove that if is odd, the pair of metric spaces $(\H^n, \H^n)$ does not have the Lipschitz extension prop…