Consequences of the Pseudo Orbits Tracing Property and Expansiveness

Abstract

Let f be an expansive homeomorphism with the pseudo orbits tracing property on a compact metric space. There are stable and unstable “manifolds” with similar properties as in the hyperbolic case, and similar behavior near periodic points is observed. Per ( f ) = Ω( f ) = CR(f) . Mappings Ω and CR are continuous at f .