Periods of continuous maps on some compact spaces
The objective of this paper is to provide information on the set of periodic points of a continuous self--map defined in the following compact spaces: S^n (the n--dimensional sphere), S^n S^m (the product space of the n--dimensional with the m--dimensional spheres), CP^n (the n--dimensional complex...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:169489 |
| Acceso en línea: | https://ddd.uab.cat/record/169489 https://dx.doi.org/urn:doi:10.1080/10236198.2017.1304932 |
| Access Level: | acceso abierto |
| Palabra clave: | Complex projective space Continuous map Lefschetz fixed point theory Periodic point Periods Product of two spheres Quaternion projective space Sphere |
| Sumario: | The objective of this paper is to provide information on the set of periodic points of a continuous self--map defined in the following compact spaces: S^n (the n--dimensional sphere), S^n S^m (the product space of the n--dimensional with the m--dimensional spheres), CP^n (the n--dimensional complex projective space) and HP^n (the n--dimensional quaternion projective space). We use as main tool the action of the map on the homology groups of these compact spaces. |
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