Sensitivity, proximal extension and higher order almost automorphy

Xiangdong Ye, Tao Yu

Let $(X,T)$ be a topological dynamical system, and $\mathcal{F}$ be a family of subsets of ${\mathbb{Z}}_{+}$. $(X,T)$ is strongly $\mathcal{F}$-sensitive, if there is $\delta >0$ such that…