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arXiv:1904.11444 [math.DS]AbstractReferencesReviewsResources

Topological completely positive entropy is no simpler in $\mathbb Z^2$-SFTs

Linda Brown Westrick

Published 2019-04-25Version 1

We construct Z^2-SFTs at every computable level of the hierarchy of topological completely positive entropy (TCPE), answering Barbieri and Garc\'{i}a-Ramos, who asked if there was one at level 3. Furthermore, we show the property of TCPE in Z^2-SFTs is coanalytic complete. Thus there is no simpler description of TCPE in Z^2-SFTs than in the general case.

Comments: 40 pages, comments welcome
Categories: math.DS, math.LO
Subjects: 37B50, 03E15, 03D55
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