THE COMPLEXITY OF THE TOPOLOGICAL CONJUGACY PROBLEM FOR TOEPLITZ SUBSHIFTS


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Kaya B.

ISRAEL JOURNAL OF MATHEMATICS, cilt.220, ss.873-897, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 220 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11856-017-1537-4
  • Dergi Adı: ISRAEL JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.873-897

Özet

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.