Functorial properties of Smale spaces
Speaker: Robin Deeley, Universit´e Blaise Pascal, Clermont-Ferrand II.
We discuss some preliminary results of a joint project with Brady Killough and Michael Whittaker. The goal of the project is to better understand the functorial properties of the homology theory for Smale spaces introduced by Ian Putnam. The fundamental objects of study are correspondences between Smale spaces; the precise definition will be given in the talk. However, the idea is to encode both types of functorial properties of Smale spaces (with respect to Putnam's homology theory) into a single object.
The talk will be very much an introduction and will contain many examples (for the most part coming from the theory of shifts of finite type). No knowledge of Smale spaces or Putnam's homology theory are required for the talk.
The talk will be very much an introduction and will contain many examples (for the most part coming from the theory of shifts of finite type). No knowledge of Smale spaces or Putnam's homology theory are required for the talk.