Minimal subshifts of arbitrary mean topological dimension

Dou Dou

doi:10.3934/dcds.2017058

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2017, Volume 37, Issue 3: 1411-1424. Doi: 10.3934/dcds.2017058

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Minimal subshifts of arbitrary mean topological dimension

Dou Dou^1, ,

Department of Mathematics, Nanjing University, Nanjing 210093, China

* Corresponding author: Dou Dou
* Corresponding author: Dou Dou

Received: April 30, 2016

Revised: July 31, 2016

Published: May 2017

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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 arbitrary mean topological dimension less than $\dim P$.

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Mathematics Subject Classification: Primary:37B05, 28D20;Secondary:54H20.

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References

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