Density of stable accessibility for partially hyperbolic diffeomorphisms

Let $r\in[2,+\infty]$, and consider $C^{r}$ partially hyperbolic diffeomorphisms, whether volume preserving or not. A diffeomorphism is stably accessible if it has the accessibility property and this property persists under sufficiently small perturbations. Density of accessibility. Stable accessibility is open and dense among the set of $C^{r}$ partially hyperbolic diffeomorphisms, volume preserving or not. The supplied status evidence says that this conjecture was proved in full generality for arbitrary center dimension in the $C^{1}$ topology.