中文摘要：

研究了紧致度量空间X上的连续满映射f：X-→X的逆极限空间上移位映射σ：lim（X，f）→lim（X,f）的σ-传递、Ф-混合与弱Ф-敏感性．证明了：σ是Ф-混合的当且仅当f是Ф-混合的，其中空是一个满的Furstenberg族；σ是Ф-传递的当且仅当f是Ф-传递的，σ是弱Ф-敏感的当且仅当f是弱Ф-敏感的，其中Ф是一个Furstenberg．

英文摘要：

Let Ф be a Furstenberg family. We research the dynamic properties of the shift map on the inverse limit space of a compact metric space and a sole bonding map. The following results are proved： the shift map on inverse limit space is Ф-transitive if and only if its sole bonding map is Ф-transitive; the shift map on inverse limit space is Ф-mixing if and only if its sole bonding map is Ф-mixing, where Ф is a full Furstenberg family; the shift map on inverse limit space is weakly Ф-sensitive if and only if its sole bonding map is weakly Ф-sensitive.