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Topological Conjugacy Relation on the Space of Toeplitz Subshifts

We proved that the topological conjugacy relation on $T_1$, a subclass of Toeplitz subshifts, is hyperfinite, extending Kaya's result that the topological conjugate relation of Toeplitz subshifts with growing blocks is hyperfinite. A close concept about the topological conjugacy is the flip conjugacy, which has been broadly studied in terms of the topological full groups. Particularly, we provided an equivalent characterization on Toeplitz subshifts with single hole structure to be flip invariant.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc1985430
Date08 1900
CreatorsYu, Ping
ContributorsJackson, Steve, Gao, Su, Fishman, Lior
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
FormatText
RightsPublic, Yu, Ping, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved.

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