Lusternik-Schnirelmann category, Hopf duality, and isolated invariant sets
| dc.contributor.author | Rodríguez Sanjurjo, José Manuel | |
| dc.date.accessioned | 2023-06-20T09:40:27Z | |
| dc.date.available | 2023-06-20T09:40:27Z | |
| dc.date.issued | 2004 | |
| dc.description | Conference on Low Dimensional Topology, DEC 06-13, 2002, México | |
| dc.description.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. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16822 | |
| dc.identifier.issn | 1405-213X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50158 | |
| dc.journal.title | Boletín de la Sociedad Matemática Mexicana | |
| dc.page.final | 494 | |
| dc.page.initial | 487 | |
| dc.publisher | Sociedad Matemática Mexicana | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 514 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.ucm | Geometría | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1204 Geometría | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Lusternik-Schnirelmann category, Hopf duality, and isolated invariant sets | |
| dc.type | journal article | |
| dc.volume.number | 10 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f54f1d9d-37e9-4c15-9d97-e34a6343e575 | |
| relation.isAuthorOfPublication.latestForDiscovery | f54f1d9d-37e9-4c15-9d97-e34a6343e575 |