离散动力系统的万有嵌入

On the Universal Imbedding of Discrete Dynamical Systems

本文主要讨论可分度量空间上离散动力系统的嵌入问题.我们证明了任何零维可分度量空间上的离散动力系统都可嵌入 Cantor 集上某个动力系统作为子系统.

In this paper we consider the problem about universal imbedding of discrete dynamical systems.We prove the following result:There exists a dynamical system on Cantor set which is universal for all dynamical systems on separable metric spaces with dimension O.