Resolving Maps And The Dimension Group For Shifts Of Finite Type (memoirs Of The American Mathematical Society)

Mike Boyle, Brian Marcus, And Paul Trow. November 1987. Volume 70, Number 377 (fifth Of 6 Numbers) Includes Index. Bibliography: P. 139-142. We give several results on necessary and sufficient conditions for the existence of special classes of maps from one shift of finite type onto another of the same entropy. The classes we study include eventual right closing maps, common right closing extensions, and stable right closing maps. Some analogous results for sofic systems are also given. The necessary and sufficient conditions are described algebraically in terms of the dimension group associated to a shift of finite type by W. Krieger