2 problems

Let $(X,T)$ be a distal minimal topological dynamical system, and let ${\bf Ind}^{[d]}_{ap}(X,T)$ denote its arithmetic-progression independence relation of order $d$. Let…

Let $(X,T)$ be a minimal distal system. The arithmetic-progression proximality conjecture. … Here ${\bf AP}^{[d]}$ denotes the regionally proximal relation of order $d$ along arith…