Asymptotic dimensions of the arc graphs and disk graphs

Abstract

We give quadratic upper bounds for the asymptotic dimensions of the arc graphs and disk graphs.

20 pages, no figures, v3 small changes to address referee comments

References in corpus (3)

• Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups
• Hierarchical hyperbolicity of graphs of multicurves
• Asymptotic dimension and the disk graph II