零维紧致度量空间上的可扩映射

The Expansive Map on Compact Metric Space with Dimension 0

证明了如下的结果：设Ｘ是零维紧致度量空间，Ｔ：Ｘ→Ｘ是连续映射，则Ｔ是可扩映射当且仅当半动力系统（Ｘ，Ｔ）拓扑共轭于某个由有限个符号产生的单边Ｓｈｉｆｔ系统的某个子系统。

This paper proves the following result: Let X be a compact metric space with dimension 0. T: X→X is a continuous map. Then T is expansive if and only if the semi-dynamical system (X, Y) is conjugate to a subsystem of one-sided shift system over a finite symbol set.