Linearly-controlled asymptotic dimension of the fundamental group of a graph-manifold

Details Linearly-controlled asymptotic dimension of the fundamental group of a graph-manifold Linearly-controlled asymptotic dimension of the fundamental group of a graph-manifold

2009-09-06

arxiv.org/abs/0909.1098v1

St. Petersburg Mathematical Journal, 2011, 22:2, 307-319

Mathematics

Geometric Topology

14 pages

Scientific paper

We prove that the linearly controlled asymptotic dimension of the fundamental
group of any 3-dimensional graph-manifold does not exceed 7. As applications we
obtain that the universal cover of such a graph-manifold is an absolute
Lipschitz retract and it admits a quasisymmetric embedding into the product of
8 metric trees.

Affiliated with

Also associated with

No associations

Rating

Linearly-controlled asymptotic dimension of the fundamental group of a graph-manifold 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 Linearly-controlled asymptotic dimension of the fundamental group of a graph-manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linearly-controlled asymptotic dimension of the fundamental group of a graph-manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-723743