Endomorphisms of expansive systems on compact metric spaces and the pseudo-orbit tracing property
نویسندگان
چکیده
منابع مشابه
Endomorphisms of Expansive Systems on Compact Metric Spaces and the Pseudo-orbit Tracing Property
We investigate the interrelationships between the dynamical properties of commuting continuous maps of a compact metric space. Let X be a compact metric space. First we show the following. If τ : X → X is an expansive onto continuous map with the pseudo-orbit tracing property (POTP) and if there is a topologically mixing continuous map φ : X → X with τφ = φτ , then τ is topologically mixing. If...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02591-5