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拓扑强遍历映射的研究
引用本文:曹毅,顾效华.拓扑强遍历映射的研究[J].江苏技术师范学院学报,2012,18(2):66-68.
作者姓名:曹毅  顾效华
作者单位:江苏技术师范学院数理学院,江苏常州,213001
摘    要: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。

关 键 词:拓扑强遍历  拓扑可迁  拟弱几乎周期点

Study on Topologically Strong Ergodicity
CAO Yi,GU Xiao-hua.Study on Topologically Strong Ergodicity[J].Journal of Jiangsu Teachers University of Technology,2012,18(2):66-68.
Authors:CAO Yi  GU Xiao-hua
Institution:(School of Mathematics and Physics,Jiangsu Teachers University of Technology,Changzhou,213001,China)
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-n(V)≠,is a Syndentic set.This paper mainly studies the judging of topological strong ergodic maps.
Keywords:topologically strong ergodic  topologically transitive  quasi-weakly almost periodic points
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