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Journal of the London Mathematical Society 1998 57(2):491-502; doi:10.1112/S0024610798005833
© 1998 by London Mathematical Society
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© The London Mathematical Society

Factoring Factor Maps

Mike Boyle

Department of Mathematics, University of Maryland College Park, Maryland 20742, USA. E-mail address: mmb{at}math.umd.edu

Received 9 February 1995. Revision received 10 January 1996.

A noninjective bounded-to-one factor map from an irreducible shift of finite type onto a sofic system can be factored as a composition of other such maps in only finitely many ways (up to isomorphism). This generalizes to factor maps from systems with canonical coordinates to finitely presented dynamical systems.


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