  The class of coarsely convex spaces is a coarse geometric analogue of the
class of nonpositively curved Riemannian manifolds. It includes Gromov
hyperbolic spaces, CAT(0) spaces, proper injective metric spaces and systolic
complexes. It is well known that quasi-isometric embeddings of Gromov
hyperbolic spaces induce topological embeddings of their boundaries. Dydak and
Virk studied maps between Gromov hyperbolic spaces which induce continuous maps
between their boundaries. In this paper, we generalize their work to maps
between coarsely convex spaces.
