Realization of all Dold’s congruences with stability
The main goal of this paper is to prove that for each n > 2, every sequence of integers satisfying Dold’s congruences is realized as the sequence of fixed point indices of the iterates of an orientation preserving Rn-homeomorphism at an isolated stable fixed point. We use Conley index techniques eve...
| Autores: | ; |
|---|---|
| Tipo de documento: | Artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/42016 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/42016 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | 515.1 Conley index Fixed point index Stable fixed points Homeomorphisms Topología 1210 Topología |
| Sumario: | The main goal of this paper is to prove that for each n > 2, every sequence of integers satisfying Dold’s congruences is realized as the sequence of fixed point indices of the iterates of an orientation preserving Rn-homeomorphism at an isolated stable fixed point. We use Conley index techniques even though stable fixed points are not isolated invariant sets. |
|---|