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Topological conjugacy for 1-block factor maps of subshifts and sofic covers

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Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1342))

Abstract

We prove that any topological conjugacy of 1-block factor maps between subshifts is factored into bipartitely related conjugacies. We also prove that for sofic covers, bipartitely related conjugacy and topological conjugacy are equivalent to 1-step strong shift equivalence and strong shift equivalence, respectively, of their representation matrices.

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References

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James C. Alexander

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© 1988 Springer-Verlag

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Hamachi, T., Nasu, M. (1988). Topological conjugacy for 1-block factor maps of subshifts and sofic covers. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082835

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  • DOI: https://doi.org/10.1007/BFb0082835

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50174-9

  • Online ISBN: 978-3-540-45946-0

  • eBook Packages: Springer Book Archive

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