1 citations · 1 across the 2 of their papers we have counts for
5 papers
Injective Subsets of
Dominic Descombes, Maël Pavón
We give an explicit characterization of all injective subsets of the model space for a general set , in terms of inequalities involving -Lipschitz functions.…
Asymptotic rank of spaces with bicombings
Dominic Descombes
The question, under what geometric assumptions on a space X an n-quasiflat in X implies the existence of an n-flat therein, has been investigated for a long time. It was settled in…
A characterization of injective subsets in R^n with maximum norm
Dominic Descombes
We characterize all (absolute) 1-Lipschitz retracts Q of R^n with the maximum norm. Omitting two technical details, they coincide with the subsets written as the solution set of (a…
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…
Convex geodesic bicombings and hyperbolicity
Dominic Descombes, Urs Lang
A geodesic bicombing on a metric space selects for every pair of points a geodesic connecting them. We prove existence and uniqueness results for geodesic bicombings satisfying dif…