A remark on inverse limits of effective subshifts

Key Points

• The existence of effective subshifts whose inverse limit cannot be represented as a topological factor is demonstrated.
• It follows from the properties of finitely generated groups with decidable word problems and undecidable domino problems.
• This study contributes to the understanding of the universal nature of effective dynamical systems.
• Implications for the structure and classification of dynamical systems are highlighted.