Geometry & Topology

On the asymptotic dimension of the curve complex

Mladen Bestvina and Ken Bromberg

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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.

Article information

Source
Geom. Topol., Volume 23, Number 5 (2019), 2227-2276.

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

Permanent link to this document
https://projecteuclid.org/euclid.gt/1571709624

Digital Object Identifier
doi:10.2140/gt.2019.23.2227

Mathematical Reviews number (MathSciNet)
MR4019893

Zentralblatt MATH identifier
07121751

Subjects
Primary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx]

Keywords
asymptotic dimension curve complex

Citation

Bestvina, Mladen; Bromberg, Ken. On the asymptotic dimension of the curve complex. Geom. Topol. 23 (2019), no. 5, 2227--2276. doi:10.2140/gt.2019.23.2227. https://projecteuclid.org/euclid.gt/1571709624


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