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Topological entropy of continuous self-maps on closed surfaces |
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| Authors: | Juan Luis García Guirao Jaume Llibre Wei Gao |
| Institution: | 1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, Región de Murcia, Spainjuan.garcia@upct.es;3. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain;4. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, Región de Murcia, Spain;5. School of Information Science and Technology, Yunnan Normal University, Kunming, People's Republic of China |
| Abstract: | The objective of this work is to present sufficient conditions for having positive topological entropy for continuous self-maps defined on a closed surface by using the action of this map on the homological groups of the closed surface. |
| Keywords: | Closed surface continuous self-map Lefschetz fixed point theory periodic point set of periods |