On the asymptotic dimension of the curve complex

Mladen Bestvina; Ken Bromberg

doi:10.2140/gt.2019.23.2227

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Home > Journals > Geom. Topol. > Volume 23 > Issue 5 > Article

2019 On the asymptotic dimension of the curve complex

Mladen Bestvina, Ken Bromberg

Geom. Topol. 23(5): 2227-2276 (2019). DOI: 10.2140/gt.2019.23.2227

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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.

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Mladen Bestvina. Ken Bromberg. "On the asymptotic dimension of the curve complex." Geom. Topol. 23 (5) 2227 - 2276, 2019. https://doi.org/10.2140/gt.2019.23.2227