%0 Journal Article
%T A Note on Anosov Homeomorphisms
%A Mauricio Achigar
%J -
%D 2019
%R https://doi.org/10.3390/axioms8020054
%X Abstract For an ¦Á -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 ¦Á -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. View Full-Tex
%K shadowing property
%K expansive homeomorphism
%K pseudo orbit
%U https://www.mdpi.com/2075-1680/8/2/54