  Recently a generalization of shifts of finite type to the infinite alphabet
case was proposed, in connection with the theory of ultragraph C*-algebras. In
this work we characterize the class of continuous shift commuting maps between
these spaces. In particular, we prove a Curtis-Hedlund-Lyndon type theorem and
use it to completely characterize continuous, shift commuting, length
preserving maps in terms of generalized sliding block codes.
