24 citations · 178 across the 25 of their papers we have counts for
3 papers · 1 filter
A Metrizable Topology on the Contracting Boundary of a Group
Christopher H. Cashen, John M. Mackay
The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space. We introduce a geometrica…
Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology
Christopher H. Cashen
We consider a `contracting boundary' of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space. We topol…
Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction
Goulnara N. Arzhantseva, Christopher H. Cashen, Dominik Gruber +1
We introduce and begin a systematic study of sublinearly contracting projections. We give two characterizations of Morse quasi-geodesics in an arbitrary geodesic metric space. One…