On structure theorems and non-saturated examples

Qinqi Wu, Hui Xu, Xiangdong Ye

For any minimal system $(X,T)$ and $d\ge 1$ there is an associated minimal system $(N_d(X),{\mathcal{G}}_d(T))$, where ${\mathcal{G}}_d(T)$ is the group generated by $T\times\c…