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THE COMPLEXITY OF THE TOPOLOGICAL CONJUGACY PROBLEM FOR TOEPLITZ SUBSHIFTS
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2017-06-01
Author
Kaya, Burak
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In this paper, we analyze the Borel complexity of the topological conjugacy relation on Toeplitz subshifts. More specifically, we prove that topological conjugacy of Toeplitz subshifts with separated holes is hyperfinite. Indeed, we show that the topological conjugacy relation is hyperfinite on a larger class of Toeplitz subshifts which we call Toeplitz subshifts with growing blocks. This result provides a partial answer to a question asked by Sabok and Tsankov.
Subject Keywords
BOREL EQUIVALENCE-RELATIONS
,
ISOMORPHISM
URI
https://hdl.handle.net/11511/34672
Journal
ISRAEL JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.1007/s11856-017-1537-4
Collections
Department of Mathematics, Article
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B. Kaya, “THE COMPLEXITY OF THE TOPOLOGICAL CONJUGACY PROBLEM FOR TOEPLITZ SUBSHIFTS,”
ISRAEL JOURNAL OF MATHEMATICS
, pp. 873–897, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34672.