149 citations · 595 across the 59 of their papers we have counts for
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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…
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…
A note on acylindrical hyperbolicity of Mapping Class Groups
Piotr Przytycki, Alessandro Sisto
The aim of this note is to give the simplest possible proof that Mapping Class Groups of closed hyperbolic surfaces are acylindrically hyperbolic, and more specifically that their…