开盖视域下Borel测度的拓扑稳定性和伪轨道跟踪性质

Pub Date : 2023-06-23 DOI:10.1080/14689367.2023.2226384

Shuzhen Hua, Jiandong Yin

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引用次数: 0

摘要

本文从开盖的角度，引入了紧拓扑空间上给定连续映射上Borel测度的拓扑稳定性、扩张性和伪轨道跟踪性的概念，证明了每一个具有伪轨道跟踪性的扩张性Borel测度都是拓扑稳定的。进一步，我们得到了拓扑稳定测度的一些性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Topological stability and pseudo-orbit tracing property of Borel measures from the viewpoint of open covers

In the paper, we introduce the concepts of topological stability, expansivity and pseudo-orbit tracing property of Borel measures with respect to a given continuous map on a compact topological space from the viewpoint of open covers and prove that every expansive Borel measure with the pseudo-orbit tracing property is topologically stable. Furthermore, we obtain some properties of topologically stable measures.

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