The Boundary at Infinity of a Rough CAT(0) Space

Abstract

We develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces. The resulting theory generalizes the common features of the Gromov boundary of a Gromov hyperbolic length space and the ideal boundary of a complete CAT(0) space. It is not assumed that the spaces are geodesic or proper

Keywords

• cat(0) space
• gromov hyperbolic space
• rough cat(0) space
• ideal boundary
• gromov boundary
• bouquet boundary