Corpus ID: 131775962

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

  title={Topological completely positive entropy is no simpler in \$\mathbb Z^2\$-SFTs},
  author={L. Westrick},
  journal={arXiv: Dynamical Systems},
  • 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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