Finite mean dimesnion and marker property

Abstract

In this paper, we develop the theory of ${\mathbb{Z}}_p$-index which has been introduced by Tsukamoto, Tsutaya and Yoshinaga. As an application, we show that given any positive number, there exists a dynamical system with mean dimension equal to such number such that it does not have the marker property.

19 pages

References in corpus (1)

• $G$-index, topological dynamics and marker property