2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138828Given any compact manifold M, we construct a non-empty open subset O of the space of C^1-diffeomorphisms of M and a dense subset D of O such that the centralizer of every diffeomorphism in D is uncountable, hence non-trivial.Dynamical Systems37C85, 37C80, 37D45, 37D15, 37E30text