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arXiv · 1904.11444

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

Linda Westrick
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Abstract

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.

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Linda Westrick. 2019-04-25. Topological completely positive entropy is no simpler in $\mathbb Z^2$-SFTs. https://arxiv.org/abs/1904.11444

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