70 citations · 73 across the 3 of their papers we have counts for
3 papers
math.GT2013★ 70 cited
Contracting Boundaries of CAT(0) Spaces
Ruth Charney, Harold Sultan
As demonstrated by Croke and Kleiner, the visual boundary of a CAT(0) group is not well-defined since quasi-isometric CAT(0) spaces can have non-homeomorphic boundaries. We introdu…
math.GT2012★ 2 cited
Explicit equivalences between CAT(0) hyperbolic type geodesics
Harold Mark Sultan
We prove an explicit equivalence between various hyperbolic type properties for quasi-geodesics in CAT(0) spaces. Specifically, we prove that for X a CAT(0) space and a quasi-g…
math.GT2011★ 1 cited
Hyperbolic quasi-geodesics in CAT(0) spaces
Harold Mark Sultan
We prove that in CAT(0) spaces a quasi-geodesic is Morse if and only if it is contracting. Specifically, in our main theorem we prove that for a quasi-geodesic in a CAT(0) spac…