The Boundary at Infinity of a rough CAT(0) space

Abstract

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

35 pages, 1 figure

References in corpus (1)

• Rough CAT(0) spaces

Cited by in corpus (2)

• Cannon-Thurston maps for Coxeter groups with signature $(n-1,1)$
• The n-point Condition and Rough CAT(0)