Topological entropy of continuous self-maps on closed surfaces
García Guirao, Juan Luis (Universidad Politécnica de Cartagena. Hospital de Marina. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Gao, Wei (Yunnan Normal University. School of Information Science and Technology (China))

Date:	2020
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.
Grants:	Ministerio de Economía y Competitividad MTM-2016-77278-P Ministerio de Economía y Competitividad MDM-2014-0445 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Note:	Altres ajuts: MCIU grant number PGC2018-097198-B-I00 and Fundación Séneca de la Región de Murcia grant number 20783/PI/18
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Closed surface ; Continuous self-map ; Lefschetz fixed point theory ; Periodic point ; Set of periods
Published in:	Journal of Difference Equations and Applications, Vol. 26, Issue 2 (January 2020) , p. 203-208, ISSN 1563-5120

DOI: 10.1080/10236198.2019.1710141

Postprint 7 p, 271.3 KB

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