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Let G be an infinite countable amenable group and P a polyhedron with the topological dimension dim(P) < infinity. We construct a minimal subshift (X, G) of (P-G, G) such that its mean topological dimension is equal to dim(P). This result answers the question of Dou (2017 Discrete Contin. Dyn. Syst. 37 1411-24). Moreover, it extends the work of Jin and Qiao (2023 arXiv:2102.10339) for Z-action.
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NONLINEARITY
ISSN: 0951-7715
Year: 2024
Issue: 11
Volume: 37
1 . 6 0 0
JCR@2023
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 0
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