We introduce topological definition of average shadowing property. We prove that topological average shadowing property implies topological chain transitivity. In particular it is proved that for a dynamical system with dense minimal points, the topological average shadowing property implies topological strong ergodicity.

中文翻译：

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一致空间上的拓扑平均遮蔽属性

我们介绍平均阴影属性的拓扑定义。我们证明了拓扑平均遮蔽性暗示了拓扑链的传递性。特别是，证明了对于具有密集的最小点的动力学系统，拓扑平均阴影特性表示拓扑强的遍历性。