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Abstract Let G be an infinite countable amenable group and P a polyhedron with the topological dimension dim ( P ) ∞ . 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.
Yin et al. (Tue,) studied this question.
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