Complutense University Library

Lusternik-Schnirelmann category, Hopf duality, and isolated invariant sets

Rodríguez Sanjurjo, José Manuel (2004) Lusternik-Schnirelmann category, Hopf duality, and isolated invariant sets. Boletín de la Sociedad Matemática Mexicana, 10 . pp. 487-494. ISSN 1405-213X

View download statistics for this eprint

==>>> Export to other formats

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.

Item Type:Article
Additional Information:Conference on Low Dimensional Topology, DEC 06-13, 2002, México
Subjects:Sciences > Mathematics > Geometry
Sciences > Mathematics > Topology
ID Code:16822
Deposited On:23 Oct 2012 08:51
Last Modified:23 Oct 2012 08:51

Repository Staff Only: item control page