Open Access
2019 On the asymptotic dimension of the curve complex
Mladen Bestvina, Ken Bromberg
Geom. Topol. 23(5): 2227-2276 (2019). DOI: 10.2140/gt.2019.23.2227

Abstract

We give a bound, linear in the complexity of the surface, to the asymptotic dimension of the curve complex as well as the capacity dimension of the ending lamination space.

Citation

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Mladen Bestvina. Ken Bromberg. "On the asymptotic dimension of the curve complex." Geom. Topol. 23 (5) 2227 - 2276, 2019. https://doi.org/10.2140/gt.2019.23.2227

Information

Received: 15 September 2015; Revised: 19 July 2018; Accepted: 16 February 2019; Published: 2019
First available in Project Euclid: 22 October 2019

zbMATH: 07121751
MathSciNet: MR4019893
Digital Object Identifier: 10.2140/gt.2019.23.2227

Subjects:
Primary: 20F65

Keywords: Asymptotic dimension , curve complex

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.23 • No. 5 • 2019
MSP
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