摘要
研究了紧度量空间X上的连续映射的强跟踪性质,证明了如下结论:①若X上的连续映射f具有强跟踪性质,则由(X,f)生成的逆极限空间上的转移同胚σf也具有强跟踪性质;②若f是X上的同胚映射,fσ具有强跟踪性质,则f具有强跟踪性质.另外,还给出了强跟踪性质的一个性质.
The strong shadowing property for continuous map on a compact metric space was investigated, and following results have been proved： （1） if continuous map f on X has strong shadowing property, then the transfer homeomorphism σf on the inverse limit space generated X also has strong shadowing property; （2）iff is a homeomorphism on X, σf has strong shadowing property, then f also has strong shadowing property. At last a property about strong shadowing property is given.
出处
《成都大学学报（自然科学版）》
2007年第4期292-294,共3页
Journal of Chengdu University（Natural Science Edition）
关键词
强跟踪性质
逆极限空间
转移同胚
strong shadowing
inverse limit space
transfer homeomorphism
