descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 13 Oct 2019Embargo end date: 01 Jan 2015 English Publisher:Mathematical Sciences PublishersJournal:Geometry & Topology, volume 23, pages 2,227-2,276 (issn: 1465-3060, eissn: 1364-0380,

Authors: Bestvina, Mladen; Bromberg, Ken;

doi: 10.2140/gt.2019.23.2227 , 10.48550/arxiv.1508.04832

arXiv: http://arxiv.org/abs/1508.04832

On the asymptotic dimension of the curve complex

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Abstract

The main change in this version is that in a number of the lemmas on train tracks the tracks are no longer assumed to be recurrent. This led to a significant revision of section 3 of the paper. To appear in Geometry and Topology

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

Related Organizations

University of Utah
United States

Keywords

Mathematics - Geometric Topology, asymptotic dimension, FOS: Mathematics, Geometric Topology (math.GT), Group Theory (math.GR), 20F65, Mathematics - Group Theory, curve complex

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