Axiomatic definition of the topological entropy on the interval

• Autores: Lluís Alsedà i Soler , Sergii Kolyada, Jaume Llibre , L'ubomír Snoha
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 65, Nº. 1-2, 2003, págs. 113-132
• Idioma: inglés
• DOI: 10.1007/s000100300008
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• Resumen

  • The aim of this paper is to give an axiomatic definition of the topological entropy for continuous interval maps and, in such a way, to shed some more light on the importance of the different properties of the topological entropy in this setting. We give two closely related axiomatic definitions of topological entropy and an axiomatic characterization of the topological chaos.