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arXiv · 1612.06638

A characterization for asymptotic dimension growth

Goulnara Arzhantseva·Graham A. Niblo·Nick Wright·Jiawen Zhang
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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.

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Goulnara Arzhantseva, Graham A. Niblo, Nick Wright, Jiawen Zhang. 2017-01-06. A characterization for asymptotic dimension growth. https://doi.org/10.2140/agt.2018.18.493

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