弱几乎周期点的一点注记

A NOTE ON WEAKLY ALMOST PERIODIC POINT

本文证明了符号空间中存在混沌集Ｓ１，Ｓ２分别满足Ｓ１Ｒ（σ）－Ｗ（σ）和Ｓ２Ｗ（σ）－ＡＰ（σ），并证明了具有伪轨跟踪性质的紧致度量空间上的连续满射ｆ，以下条件互相等价：１）ＣＲ（ｆ）≠Ｒ（ｆ）２）Ｒ（ｆ）≠Ｗ（ｆ）３）Ｗ（ｆ）≠ＡＰ（ｆ）

In this note we discuss the chaotic behaviors of the weakly almost periodic points on the symbolic space. We have proved that the one side shift is chaotic in the sense of Li Yorke and there are two chaotic sets S 1,S 2 satisfying:S 1R(σ)-W(σ),S 2W(σ)-AP(σ).Furthermore, we proved if a self continuous map f has pseudo orbit tracing property, the following conditions 1),2),3)are equivalent. 1) CR(f)≠R(f) 2)R(f)≠W(f) 3)W(f)≠AP(f)