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Bounded-to-1 factors of an aperiodic shift of finite type are 1-to-1 almost everywhere factors also

Published online by Cambridge University Press:  19 September 2008

Jonathan Ashley
Jonathan Ashley
Affiliation:
Department of Mathematical Sciences, IBM Thomas J. Watson Research Center, PO Box 218, Yorktown Heights, NY 10598, USA
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Abstract

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We show that if π: ΣG → ΣH is a bounded-to-1 factor map from an irreducible shift of finite type ΣG with period pG to a shift of finite type ΣH with period pH, then there is a factor map that is (pG/pH)-to-1 almost everywhere. Moreover, if π is right closing, then may be taken to be right closing also.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 4 , December 1990 , pp. 615 - 625
Copyright
Copyright © Cambridge University Press 1990

References

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