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The strong topological Rokhlin property and Medvedev degrees of SFTs
Published: January 7, 2026 |
arXiv ID: 2601.03501v1
By: Nicanor Carrasco-Vargas
Potential Business Impact:
Finds groups that can't be understood by computers.
Business Areas:
A/B Testing
Data and Analytics
We prove that if a recursively presented group admits a (nonempty) subshift of finite type with nonzero Medvedev degree then it fails to have the strong topological Rokhlin property. This result simplifies a known criterion and provides new examples of recursively presented groups without this property.
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Page Count
8 pages
Category
Mathematics:
Dynamical Systems