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On the asymptotic dimension of the curve complex

Mladen Bestvina and Ken Bromberg

Geometry & Topology 23 (2019) 2227–2276
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.

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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