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A characterization for asymptotic dimension growth

A characterization for asymptotic dimension growth
A characterization for asymptotic dimension growth
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.
Asymptotic dimension, CAT(0) cube complexes, coarse median spaces
1472-2747
493-524
Arzhantseva, Goulnara
cb099fac-8639-46ef-bac8-a93f68309758
Niblo, Graham
43fe9561-c483-4cdf-bee5-0de388b78944
Wright, Nicholas
f4685b8d-7496-47dc-95f0-aba3f70fbccd
Zhang, Jiawen
03e225ff-faf6-4ebc-b719-f8a97bfae8ce
Arzhantseva, Goulnara
cb099fac-8639-46ef-bac8-a93f68309758
Niblo, Graham
43fe9561-c483-4cdf-bee5-0de388b78944
Wright, Nicholas
f4685b8d-7496-47dc-95f0-aba3f70fbccd
Zhang, Jiawen
03e225ff-faf6-4ebc-b719-f8a97bfae8ce

Arzhantseva, Goulnara, Niblo, Graham, Wright, Nicholas and Zhang, Jiawen (2018) A characterization for asymptotic dimension growth. Algebraic & Geometric Topology, 18, 493-524. (doi:10.2140/agt.2018.18.493).

Record 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.

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More information

Submitted date: 20 December 2016
Accepted/In Press date: 29 June 2017
Published date: 10 January 2018
Keywords: Asymptotic dimension, CAT(0) cube complexes, coarse median spaces
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 404098
URI: https://eprints.soton.ac.uk/id/eprint/404098
ISSN: 1472-2747
PURE UUID: bfe0e0f7-0aa8-4a2d-9aa5-6e00b4701db4

Catalogue record

Date deposited: 21 Dec 2016 14:07
Last modified: 22 Mar 2018 05:01

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Contributors

Author: Goulnara Arzhantseva
Author: Graham Niblo
Author: Nicholas Wright
Author: Jiawen Zhang

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