A remark on inverse limits of effective subshifts
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909968032071680 |
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| author | Barbieri, Sebastián Poirier, Leo |
| author_facet | Barbieri, Sebastián Poirier, Leo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00183 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A remark on inverse limits of effective subshifts Barbieri, Sebastián Poirier, Leo Dynamical Systems 37B10, 20F10 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. |
| title | A remark on inverse limits of effective subshifts |
| topic | Dynamical Systems 37B10, 20F10 |
| url | https://arxiv.org/abs/2506.00183 |