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Inverse shadowing property of hyperspace for free semigroup actions
QIU Lin,HUANG XiaoJun *
College of Mathematics and Statistics, University of Chongqing, Chongqing 4013310
*Correspondence author
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Funding: none
Opened online:21 January 2022
Accepted by: none
Citation: QIU Lin,HUANG XiaoJun.Inverse shadowing property of hyperspace for free semigroup actions[OL]. [21 January 2022] http://en.paper.edu.cn/en_releasepaper/content/4756088
 
 
The study of hyperspace properties is a major branch of infinite-dimensional topology. Shadowing property is an important concept of dynamical system, there are chain shadowing, h-shadowing and inverse shadowing. Which is related to the chaos and stability of the dynamical system. The purpose of this paper is to extend the generally inverse shadowing to the free semigroup action $(F^{+}_{m},\mathcal{F})\curvearrowright X$. And showed the relationship of inverse shadowing between the hyperspace and the base space.
Keywords:Hyperspace; Inverse shadowing; Free semigroup
 
 
 

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