The canocical SFT covers for one-solenoids

Smale space is a class of hyperpolic topological dynamical systems that introduced by David Ruelle. Shift of finite type spaces (SFT) and one-dimensional solenoids are examples of smale spaces. Bowen proved that every Smale space is the image of a shift of finite type under a finite-to-one and continuous surjection. In this talk we show how canonical SFT,s can be constructed by finite sets for one-dimensional solenoids.