SOME SHADOWING PROPERTIES OF THE SHIFTS ON THE INVERSE LIMIT SPACES

Let f : X → X be a continuous surjection of a compact metric space X and let 𝜎f : Xf → Xf be the shift map on the inverse limit space Xf constructed by f. We show that if a continuous surjective map f has some shadowing properties: the asymptotic average shadowing property, the average shadowing property, the two side limit shadowing property, then 𝜎f also has the same properties.

Abstract

1. Introduction and preliminaries

2. Main results

References

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