On the asymptotic dimension of the curve complex

Bestvina, Mladen; Bromberg, Ken

doi:10.2140/gt.2019.23.2227

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On the asymptotic dimension of the curve complex

Mladen Bestvina and Ken Bromberg

Geometry & Topology 23 (2019) 2227–2276

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.

Keywords

asymptotic dimension, curve complex

Mathematical Subject Classification 2010

Primary: 20F65

References

Publication

Received: 15 September 2015

Revised: 19 July 2018

Accepted: 16 February 2019

Published: 13 October 2019

Proposed: Bruce Kleiner

Seconded: Jean-Pierre Otal, Martin Bridson

Authors

Mladen Bestvina
Department of Mathematics University of Utah Salt Lake City, UT United States

Ken Bromberg
Department of Mathematics University of Utah Salt Lake City, UT United States

Volume 23, issue 5 (2019)