Key points are not available for this paper at this time.
Let G be an infinite countable amenable group and P a polyhedron with topological dimension dim (P) <. We construct a minimal subshift (X, G) such that its mean topological dimension is equal to dim (P). This result answers the question of D. Dou in DD, moreover, it is also an extension of the work of L. Jin and Y. Qiao JQ for Z-action.
Yin et al. (2024) studied this question.