Tits boundary of CAT(0) 2-complexes

Details Tits boundary of CAT(0) 2-complexes Tits boundary of CAT(0) 2-complexes

2003-03-11

arxiv.org/abs/math/0303133v1

Mathematics

Group Theory

26 pages

Scientific paper

We investigate the Tits boundary of locally compact CAT(0) 2-complexes. In particular we show that away from the endpoints, a geodesic segment in the Tits boundary is the ideal boundary of an isometrically embedded Euclidean sector. As applications, we provide sufficient conditions for two points in the Tits boundary to be the endpoints of a geodesic in the 2-complex and for a group generated by two hyperbolic isometries to contain a free group. We also show that if two CAT(0) 2-complexes are quasi-isometric then the cores of their Tits boundaries are bi-Lipschitz.

Affiliated with

Also associated with

No associations

Rating

Tits boundary of CAT(0) 2-complexes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tits boundary of CAT(0) 2-complexes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tits boundary of CAT(0) 2-complexes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204691