149 citations · 595 across the 59 of their papers we have counts for
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math.GR2015★ 29 cited
Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups
Jason Behrstock, Mark F. Hagen, Alessandro Sisto
We prove that all hierarchically hyperbolic spaces have finite asymptotic dimension and obtain strong bounds on these dimensions. One application of this result is to obtain the sh…
math.GR2015★ 59 cited
Hierarchically hyperbolic spaces II: Combination theorems and the distance formula
Jason Behrstock, Mark F. Hagen, Alessandro Sisto
We introduce a number of tools for finding and studying \emph{hierarchically hyperbolic spaces (HHS)}, a rich class of spaces including mapping class groups of surfaces, Teichmülle…