2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67829In this note we derive an upper bound for the Hausdorff dimension of the stable set of a hyperbolic set $Λ$ of a $C^2$ diffeomorphisms on a $n$-dimensional manifold. As a consequence we obtain that $\dim_H W^s(Λ)=n$ is equivalent to the existence of a SRB-measure. We also discuss related results in the case of expanding maps.Dynamical Systems37C45; 37DXXtext