弱Specification和伪移位不变集(英文)  

Weak Specification and pseudo shift invariant set

作　　者：顾荣宝[1] 

机构地区：[1]安徽大学数学系,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2002年第3期1-4,共4页Journal of Anhui University(Natural Science Edition)

摘　　要：研究了弱Specification性质与紧致度量空间上连续映射的伪移位不变集的联系 ,得到的主要结果是 :设f∶X→X是紧致度量空间连续自映射 ,若f具有弱Specification性质 ,则存在正整数M ,使得fM具有伪移位不变集。We study the relation between the weak specification property and the pseudo shift invariant set for a continuous map from a compact metric space into itself.The main result is that suppose f:X→X is a continuous map from X into itself.If f has the weak specificaction property, then there is a poistive integer M , such that f M has a pseudo shift invariant set.

关 键 词：紧致度量空间 连续映射 弱Specification 伪移位不变集 连续自映射 

分 类 号：O189.11[理学—数学]