On ordered Bratteli diagrams -- II

Wei Sun

10:00 am to 11:00 am, Nov 27th, 2013   Science Building A1510

Abstract:

We will continue with the direction from "ordered Bratteli diagrams" to "dynamical systems" (to be more specific, Cantor dynamical systems under our setup). Continuity is something subtle during this process. With that in mind, we will recall the definition of simple ordered Bratteli diagrams, essentially simple ordered Bratteli diagrams, and our definition of $k$-simple ordered Bratteli diagrams with $k \in \mathbb{Z}_{\geq 1}$.

We will also cover the relationship between "equivalent" ordered Bratteli diagrams (say, via telescoping and microscoping, and their combinations, etc) and the corresponding dynamical systems.

Kakutani-Rokhlin tower construction will be introduced as a corner stone for the direction from "Cantor dynamical systems" to "ordered Bratteli diagrams".