The construction of a completely scrambled system by graph covers

Shimomura, Takashi

doi:10.1090/proc/12963

The construction of a completely scrambled system by graph covers
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by Takashi Shimomura PDF

Proc. Amer. Math. Soc. 144 (2016), 2109-2120 Request permission

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.

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