Rodríguez Sanjurjo, José Manuel2023-06-202023-06-2020041405-213Xhttps://hdl.handle.net/20.500.14352/50158Conference on Low Dimensional Topology, DEC 06-13, 2002, MéxicoWe establish an inequality relating the Lusternik-Schnirelmann coefficient of the unstable manifold of an isolated invariant set of a flow and the coefficients of a Morse decomposition of this set. We also establish some homological relations between the Morse sets of a particular Morse decomposition of an isolated invariant set. This result introduces Hopf duality properties in the context of continuous dynamical systems.Lusternik-Schnirelmann category, Hopf duality, and isolated invariant setsjournal articlemetadata only access514515.1GeometríaTopología1204 Geometría1210 Topología