Year: 2018
Type: article
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.
Source: Algebraic & Geometric Topology
Authors: Goulnara Arzhantseva, Graham Niblo, Nick Wright, Jiawen Zhang
Institutions: University of Vienna, University of Southampton
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2577985242