A Note on Anosov Homeomorphisms

Autor: Mauricio Achigar
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Axioms, Vol 8, Iss 2, p 54 (2019)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms8020054
Popis: For an α -expansive homeomorphism of a compact space we give an elementary proof of the following well-known result in topological dynamics: A sufficient condition for the homeomorphism to have the shadowing property is that it has the α -shadowing property for one-jump pseudo orbits (known as the local product structure property). The proof relies on a reformulation of the property of expansiveness in terms of the pseudo orbits of the system.
Databáze: Directory of Open Access Journals
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