42 citations · 103 across the 15 of their papers we have counts for
4 papers · 1 filter
Asymptotic dimension for covers with controlled growth
David Hume, John M. Mackay, Romain Tessera
We prove various obstructions to the existence of regular maps (or coarse embeddings) between commonly studied spaces. For instance, there is no regular map (or coarse embedding) $…
Stability and the Morse boundary
Matthew Cordes, David Hume
Stable subgroups and the Morse boundary are two systematic approaches to collect and study the hyperbolic aspects of finitely generated groups. In this paper we unify and generaliz…
Embedding mapping class groups into finite products of trees
David Hume
We prove the equivalence between a relative bottleneck property and being quasi-isometric to a tree-graded space. As a consequence, we deduce that the quasi-trees of spaces defined…
Direct embeddings of relatively hyperbolic groups with optimal compression exponent
David Hume
We prove that for all , every relatively hyperbolic group has compression exponent equal to the minimum of the exponents of its maximal parabolic subgroups. Moreover,…