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Asymptotic dimensions
of the arc graphs and disk graphs
Koji Fujiwara and Saul Schleimer |
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Algebraic & Geometric Topology 24 (2024) 2655–2672
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Abstract |
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We give quadratic upper bounds for the asymptotic dimensions of the arc graphs and disk graphs. |
Keywords
curve complex, arc complex, disk complex, asymptotic
dimension, quasitrees
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Mathematical Subject Classification
Primary: 20F65, 20F69, 57K20
Secondary: 57M60
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References |
Publication
Received: 18 May 2022
Revised: 26 October 2022
Accepted: 19 December 2022
Published: 19 August 2024
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Authors |
| Koji Fujiwara | |
| Department of Mathematics Kyoto University Kyoto Japan |
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| Saul Schleimer | |
| Mathematics Institute University of Warwick Coventry United Kingdom |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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