极限跟踪的几个性质

Some properties of the limit shadowing property.

研究极限跟踪性与伪轨跟踪性的关系及极限跟踪性的某些性质,证明了紧致度量空间上有POTP的等度连续自同胚有极限跟踪性;若紧致度量空间上的自同胚f有极限跟踪性,则其链回归集与正向极限集相同;若f有双向极限跟踪性。

Let \%f\% be a homeomorphism of a compact metric space. It is proved that if \%f\% is equicontinuous and has the POTP, \%f\% has the limit shadowing property; if \%f\% has the limit shadowing property, \%CR(f)=w(f)\%; and if \%f\% has the two-sided limit shadowing property, \%f\% has the two-sided limit shadowing property on chain components.