Abstract
Let K be a finite-dimensional compact metric space and Kℤ the full shift on the alphabet K. We prove that its mean dimension is given by dimK or dimK−1 depending on the “type” of K. We propose a problem which seems interesting from the view point of infinite-dimensional topology.
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Tsukamoto, M. Mean dimension of full shifts. Isr. J. Math. 230, 183–193 (2019). https://doi.org/10.1007/s11856-018-1813-y
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DOI: https://doi.org/10.1007/s11856-018-1813-y