2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131487In this announcement, we describe the solution in the C1 topology to a question asked by S. Smale on the genericity of trivial centralizers: the set of diffeomorphisms of a compact connected manifold with trivial centralizer residual in Diff^1 but does not contain an open and dense subset.Dynamical Systemstext