24 citations · 178 across the 25 of their papers we have counts for
4 papers · 1 filter
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…
Negative curvature in graphical small cancellation groups
Goulnara N. Arzhantseva, Christopher H. Cashen, Dominik Gruber +1
We use the interplay between combinatorial and coarse geometric versions of negative curvature to investigate the geometry of infinitely presented graphical small cancel…
Quasi-isometries Between Groups with Two-Ended Splittings
Christopher H. Cashen, Alexandre Martin
We construct `structure invariants' of a one-ended, finitely presented group that describe the way in which the factors of its JSJ decomposition over two-ended subgroups fit togeth…
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…