2025/05/30 by Sebastián Barbieri, Barbieri, Sebastián, Leo Poirier +1
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Cellular Automata and Applications #Computability, Logic, AI Algorithms
paper · pdf · doi:10.48550/arxiv.2506.00183
We show that, for every finitely generated group with decidable word problem and undecidable domino problem, there exists a sequence of effective subshifts whose inverse limit is not the topological factor of any effective dynamical system. This follows from considerations on the universality under topological factors for this class of dynamical systems.