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A
characterization for asymptotic dimension growth
Goulnara Arzhantseva, Graham A Niblo, Nick Wright and Jiawen Zhang |
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Algebraic & Geometric Topology 18 (2018) 493–524
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Abstract |
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We give a characterization for asymptotic dimension growth. We apply it to 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. |
Keywords
asymptotic dimension growth, CAT(0) cube complex, coarse
median space, mapping class group
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Mathematical Subject Classification 2010
Primary: 20F65, 20F67, 20F69, 51F99
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References |
Publication
Received: 6 January 2017
Revised: 30 May 2017
Accepted: 29 June 2017
Published: 10 January 2018
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Authors |
| Goulnara Arzhantseva | |
| Universität Wien Fakultät für Mathematik Vienna Austria |
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| Graham A Niblo | |
| School of Mathematics University of Southampton Southampton United Kingdom |
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| Nick Wright | |
| Department of Mathematical
Sciences University of Southampton Southampton United Kingdom |
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| Jiawen Zhang | |
| School of Mathematics University of Southampton Southampton United Kingdom |
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