A sofic system with infinitely many minimal covers
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- by Susan Williams PDF
- Proc. Amer. Math. Soc. 98 (1986), 503-506 Request permission
Abstract:
We give an example of a sofic system $S$ together with an infinite collection of nonconjugate subshift of finite type covers of $S$ such that none of these covers factors through another subshift-of-finite-type cover to which it is not topologically conjugate.References
- Mike Boyle, Bruce Kitchens, and Brian Marcus, A note on minimal covers for sofic systems, Proc. Amer. Math. Soc. 95 (1985), no. 3, 403–411. MR 806078, DOI 10.1090/S0002-9939-1985-0806078-7
- R. Fischer, Graphs and symbolic dynamics, Topics in information theory (Second Colloq., Keszthely, 1975) Colloq. Math. Soc. János Bolyai, Vol. 16, North-Holland, Amsterdam, 1977, pp. 229–244. MR 0466486
- Wolfgang Krieger, On sofic systems. I, Israel J. Math. 48 (1984), no. 4, 305–330. MR 776312, DOI 10.1007/BF02760631
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 503-506
- MSC: Primary 54H20; Secondary 28D20
- DOI: https://doi.org/10.1090/S0002-9939-1986-0857950-4
- MathSciNet review: 857950