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
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 10:51 |
| Last Modified: | 23 Oct 2012 10:51 |
Repository Staff Only: item control page
