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
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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
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