Topological factors of rank-one subshifts
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- by Su Gao and Caleb Ziegler HTML | PDF
- Proc. Amer. Math. Soc. Ser. B 7 (2020), 118-126
Abstract:
We study topological factors of rank-one subshifts and prove that those factors that are themselves subshifts are either finite or isomorphic to the original rank-one subshifts. Thus, we completely characterize the subshift factors of rank-one subshifts.References
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Additional Information
- Su Gao
- Affiliation: Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, Texas 76203
- MR Author ID: 347662
- Email: sgao@unt.edu
- Caleb Ziegler
- Affiliation: 2150 Vine Street, Denver, Colorado 80205
- MR Author ID: 1206194
- Email: zieglercaleb@gmail.com
- Received by editor(s): June 29, 2019
- Received by editor(s) in revised form: May 2, 2020, May 22, 2020, and July 21, 2020
- Published electronically: October 9, 2020
- Additional Notes: The first author acknowledges the US NSF grants DMS-1201290 and DMS-1800323 for the support of his research.
Some results in this paper appeared as a part of the second author’s Ph.D. dissertation \cite{Dissertation} submitted to the University of North Texas in 2018. - Communicated by: Nimish Shah
- © Copyright 2020 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 7 (2020), 118-126
- MSC (2020): Primary 37B10
- DOI: https://doi.org/10.1090/bproc/55
- MathSciNet review: 4160279