2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60762We consider an Axiom A diffeomorphism and the invariant set $Ω$ of orbits which never falls into a fixed hole. We study various aspects of the complexity of the symbolic representation of $Ω$. Our main result are that each topologically transitive component of $Ω$ is coded and that typically $Ω$ is of finite type.17 pages, no figuresDynamical SystemsMathematical Physics37D20; 37B10text