Embeddings and Factor Maps
- 746 Downloads
In this chapter we will examine some questions about embeddings and factor maps. An embedding is a continuous, invertible, shift commuting map from one subshift of finite type into another. A factor map is a continuous, shift commuting map from one subshift of finite type onto another. We will concentrate on two-sided subshifts of finite type and then see how these results carry over to one-sided subshifts of finite type.
KeywordsPeriodic Point Finite Type Eventual Image Jordan Form Principal Submatrix
Unable to display preview. Download preview PDF.
- [AM]R. Adler and B. Marcus, Topological Entropy and Equivalence of Dynamical Systems, Memoirs of the American Mathematical Society no. 219 (1979).Google Scholar
- [By3]M. Boyle, Factoring Factor Maps, preprint.Google Scholar
- [BMT]M. Boyle, B. Marcus and P. Trow, Resolving Maps and the Dimension Group for Shifts of Finite Type, Memoirs of the American Mathematical Society no. 377 (1987).Google Scholar
- [H1]G.A. Hedlund, Transformations Commuting with the Shift, Topological Dynamics (J. Auslander and W. Gottschalk, eds.), W.A. Benjamin, 1968.Google Scholar