2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59966In this paper, we generalize Conley's fundamental theorem of dynamical systems in Conley index theory. We also conclude the existence of regular index filtration for every Morse decomposition.7 pagesDynamical Systems54H20On Conley's Fundamental Theorem of Dynamical Systemstext