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中文摘要：
利用底系统的传递性与弱混合性,对由Abelian半群作用生成动力系统的提升系统的Proximal性质进行了研究.证明了若底系统是传递的且有一个不动点,则其提升系统是Proximal的;若底系统是弱混合的,则其提升系统是Proximal的,并推广了Proximal性质的概念.
英文摘要：
By using the transtivity and weakly mixing of basic system,proximal property of lift system which is generated by Ablian semi-group action is investigated.It is proved that if the basic system is transitive and has a fix point,then its lift system is proximal,it is also proved that if the basic system is weakly mixing,then its lift system is proximal.And the definition of proximal is extended.
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