%0 Journal Article
%T Erratic Boundary Behavior of CAT(0) Geodesics under G-equivariant Maps
%A Dan Staley
%J Mathematics
%D 2009
%I arXiv
%X We show that, given any finite dimensional, connected, compact metric space Z, there exists a group G acting geometrically on two CAT(0) spaces X and Y, a G-equivariant quasi-isometry f from X to Y, and a geodesic ray c in X, such that the closure of f(c), instersected with the boundary of Y, is homeomorphic to Z. This characterizes all homeomorphism types of "geodesic boundary images" that arise in this manner.
%U http://arxiv.org/abs/0911.2442v1