拓扑强遍历映射的研究

Study on Topologically Strong Ergodicity

令X为紧致度量空间,f:X→X为连续映射,U,V为X的任意非空开集,Nf(U,V)=n∈N|U∩f-(nεV)≠准ε为Syndentic集,则称f拓扑强遍历。着重探讨拓扑强遍历映射的判定。

Abstract： Let be a compact metric space and f：X→X a continuous onto maps. f is called topological strong ergodic if for any nonempty opens U,V of Nf （U,V）={n∈N｜U∩f-（nεV）≠φ},is a Syndentic set.This paper mainly studies the judging of topological strong ergodic maps.