Publication: Lusternik-Schnirelmann category, Hopf duality, and isolated invariant sets
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2004
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Sociedad Matemática Mexicana
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Abstract
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.
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Conference on Low Dimensional Topology, DEC 06-13, 2002, México