The construction of a completely scrambled system by graph covers
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Abstract:
In this paper, we define a new construction of completely scrambled 0-dimensional systems using the inverse limit of sequences of directed graph covers. These examples are transitive and are not locally equicontinuous. Moreover, any point that is not the unique fixed point is not a point of local equicontinuity.References
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Additional Information
- Takashi Shimomura
- Affiliation: Nagoya University of Economics, Uchikubo 61-1, Inuyama 484-8504, Japan
- MR Author ID: 221337
- Email: tkshimo@nagoya-ku.ac.jp
- Received by editor(s): May 10, 2014
- Received by editor(s) in revised form: June 8, 2015
- Published electronically: November 20, 2015
- Communicated by: Nimish A. Shah
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2109-2120
- MSC (2010): Primary 37B05, 54H20
- DOI: https://doi.org/10.1090/proc/12963
- MathSciNet review: 3460171