RT Journal Article T1 Lusternik-Schnirelmann category, Hopf duality, and isolated invariant sets A1 Rodríguez Sanjurjo, José Manuel AB We 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. PB Sociedad Matemática Mexicana SN 1405-213X YR 2004 FD 2004 LK https://hdl.handle.net/20.500.14352/50158 UL https://hdl.handle.net/20.500.14352/50158 NO Conference on Low Dimensional Topology, DEC 06-13, 2002, México DS Docta Complutense RD 31 dic 2025