Corpus ID: 131775962

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

```@article{Westrick2019TopologicalCP,
title={Topological completely positive entropy is no simpler in \\$\mathbb Z^2\\$-SFTs},
author={L. Westrick},
journal={arXiv: Dynamical Systems},
year={2019}
}```
• L. Westrick
• Published 2019
• Mathematics
• arXiv: Dynamical Systems
• We construct Z^2-SFTs at every computable level of the hierarchy of topological completely positive entropy (TCPE), answering Barbieri and Garcia-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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