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2018 A characterization for asymptotic dimension growth
Goulnara Arzhantseva, Graham A Niblo, Nick Wright, Jiawen Zhang
Algebr. Geom. Topol. 18(1): 493-524 (2018). DOI: 10.2140/agt.2018.18.493

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 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 S̆pakula and Wright.

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Goulnara Arzhantseva. Graham A Niblo. Nick Wright. Jiawen Zhang. "A characterization for asymptotic dimension growth." Algebr. Geom. Topol. 18 (1) 493 - 524, 2018. https://doi.org/10.2140/agt.2018.18.493

Information

Received: 6 January 2017; Revised: 30 May 2017; Accepted: 29 June 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 06828011
MathSciNet: MR3748250
Digital Object Identifier: 10.2140/agt.2018.18.493

Subjects:
Primary: 20F65, 20F67, 20F69, 51F99

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 1 • 2018
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