A characterization for asymptotic dimension growth
Metric Geometry
2018-03-16 v2 Group Theory
Abstract
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of finite dimension, giving an alternative proof of N. Wright's result on their finite asymptotic dimension. We also apply our new characterization to geodesic coarse median spaces of finite rank and establish that they have subexponential asymptotic dimension growth. This strengthens a recent result of J. Spakula and N. Wright.
Cite
@article{arxiv.1612.06638,
title = {A characterization for asymptotic dimension growth},
author = {Goulnara Arzhantseva and Graham A. Niblo and Nick Wright and Jiawen Zhang},
journal= {arXiv preprint arXiv:1612.06638},
year = {2018}
}