On the asymptotic dimension of the curve complex

DOI10.2140/GT.2019.23.2227zbMATH Open1515.20209arXiv1508.04832MaRDI QIDQ6264696

Mladen Bestvina, Kenneth W. Bromberg

Publication date: 19 August 2015

Abstract: 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.

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50)

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