On the asymptotic dimension of the curve complex
Geometric Topology
2019-10-23 v2 Group Theory
Abstract
We give a bound, linear in the complexity of the surface, on the asymptotic dimension of the curve complex as well as the capacity dimension of the ending lamination space.
Keywords
Cite
@article{arxiv.1508.04832,
title = {On the asymptotic dimension of the curve complex},
author = {Mladen Bestvina and Ken Bromberg},
journal= {arXiv preprint arXiv:1508.04832},
year = {2019}
}
Comments
The main change in this version is that in a number of the lemmas on train tracks the tracks are no longer assumed to be recurrent. This led to a significant revision of section 3 of the paper. To appear in Geometry and Topology