Biblioteca de la Universidad Complutense de Madrid

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

Impacto



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



Resumen

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.


Tipo de documento:Artículo
Información Adicional:

Conference on Low Dimensional Topology, DEC 06-13, 2002, México

Materias:Ciencias > Matemáticas > Geometría
Ciencias > Matemáticas > Topología
Código ID:16822
Depositado:23 Oct 2012 08:51
Última Modificación:23 Oct 2012 08:51

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