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

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Representation Matrix
  • Commutative Diagram
  • Finite Type
  • Representation Matrice
  • Topological Entropy

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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