Shadowable Point for Non-Autonomous Discrete Dynamical Systems

The purpose of this paper is to study about the set of shadowable points of nonautonomous dynamical systems (X, {fn}n∈Z) where X is a metric space and fn is a homeomorphism for all n ∈ Z. In particular, we would like to show that X is totally disconnected for every shadowable and almost periodic points with a standard condition. Moreover, if {fn}n∈Z is equi-continuous then we have converse of the previous property.