Topological completely positive entropy is no simpler in $\mathbb Z^2$SFTs
Abstract
We construct Z^2SFTs at every computable level of the hierarchy of topological completely positive entropy (TCPE), answering Barbieri and GarcíaRamos, who asked if there was one at level 3. Furthermore, we show the property of TCPE in Z^2SFTs is coanalytic complete. Thus there is no simpler description of TCPE in Z^2SFTs than in the general case.
 Publication:

arXiv eprints
 Pub Date:
 April 2019
 DOI:
 10.48550/arXiv.1904.11444
 arXiv:
 arXiv:1904.11444
 Bibcode:
 2019arXiv190411444W
 Keywords:

 Mathematics  Dynamical Systems;
 Mathematics  Logic
 EPrint:
 46 pages, second draft, comments welcome