A remark on inverse limits of effective subshifts
Dynamical Systems
2025-12-19 v2
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.
Keywords
Cite
@article{arxiv.2506.00183,
title = {A remark on inverse limits of effective subshifts},
author = {Sebastián Barbieri and Leo Poirier},
journal= {arXiv preprint arXiv:2506.00183},
year = {2025}
}
Comments
10 pages. Minor improvements from last version