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Resolving Maps and the Dimension Group for Shifts of Finite Type

Resolving Maps and the Dimension Group for Shifts of Finite Type PDF Author: Mike Boyle
Publisher: American Mathematical Soc.
ISBN: 0821824406
Category : Mathematics
Languages : en
Pages : 157

Book Description
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.
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