Minimal subshifts of arbitrary mean topological dimension

Abstract

Let $G$ be a countable infinite amenable group and $P$ be a polyhedron. We give a construction of minimal subshifts of $P^G$ with arbitrarily mean topological dimension less than $\dim P$.

15 pages

References in corpus (2)

• Tilings of amenable groups
• Mean dimension of ${\mathbb{Z}}^k$-actions

Cited by in corpus (3)

• The comparison property of amenable groups
• Symbolic extensions of amenable group actions and the comparison property
• Mean dimension and a non-embeddable example for amenable group actions