A remark on inverse limits of effective subshifts
Sebastián Barbieri, Léo Poirier · Bulletin of the London Mathematical Society · 2026
Abstract 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.