关于符号空间上比较映射δ的研究(I)

Research on the Comparing-Map δ on the Symbolic Space (Ⅰ)

介绍了符号空间Σ2上的比较映射δ,通过构造一个无穷01矩阵T∞,证明了符号空间上的比较映射δ与移位映射σ拓扑共轭,并进一步研究了描述比较映射δ的周期点的某些特征,给出了刻画δ的某些周期点和广义周期点的几个等价条件。

In this paper, the comparing map δ on the symbolic space Σ 2 is introduced. Then an infinite 0 1 matrix is constructed to prove that δ is topologically conjugate to the shift map σ . Furthermore, the characters of periodic points of the comparing map δ are studied, and several equivalent conditions for certain periodic points and generalized periodic points are obtained.