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arXiv · 2601.03501

The strong topological Rokhlin property and Medvedev degrees of SFTs

Nicanor Carrasco-Vargas
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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.

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Nicanor Carrasco-Vargas. 2026-01-07. The strong topological Rokhlin property and Medvedev degrees of SFTs. https://arxiv.org/abs/2601.03501

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