The strong topological Rokhlin property and Medvedev degrees of SFTs

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Nicanor Carrasco-Vargas
DOI: 10.48550/arxiv.2601.03501
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Computability Logic AI Algorithms Cellular Automata and Applications Limits and Structures in Graph Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
7 January 2026
Document type
Preprint