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.
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Title
Topological entropy of continuous self-maps on closed surfaces
Creators - without role
Juan Luis Garcia Guirao - Univ Politecn Cartagena, Hosp Marina, Dept Matemat Aplicada & Estadist, Cartagena 30203, Region De Murci, Spain
Journal of difference equations and applications, Vol.26(2), pp.203-208
Publisher
Taylor & Francis
Number of pages
6
Grant note
MTM-2016-77278-P; MDM2014-0445 / Ministerio de Economia, Industria y Competitividad, Agencia Estatal de Investigacion; Spanish Government
PGC2018-097198-B-I00 / Ministerio de Ciencia, Innovacion y Universidades; Spanish Government
2017SGR1617 / Agencia de Gestio d'Ajuts Universitaris i de Recerca; Agencia de Gestio D'Ajuts Universitaris de Recerca Agaur (AGAUR)
MSCA-RISE-2017-777911 / H2020 European Research Council; Horizon 2020; European Research Council (ERC)
20783/PI/18 / Fundacion Seneca de la Region de Murcia; Fundacion Seneca