Every integral k-cycle with k≥2 in a CAT(0) space of asymptotic rank at most 2 and finite asymptotic Nagata dimension has a filling of mass at most C M(T)^{1+δ} for every δ>0.
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Isoperimetric inequalities in Hadamard spaces of asymptotic rank two
Every integral k-cycle with k≥2 in a CAT(0) space of asymptotic rank at most 2 and finite asymptotic Nagata dimension has a filling of mass at most C M(T)^{1+δ} for every δ>0.