Mean dimension of full shifts

Masaki Tsukamoto

doi:10.1007/s11856-018-1813-y

Mean dimension of full shifts

Masaki Tsukamoto

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Let K be a finite-dimensional compact metric space and K ^ℤ 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.

Original language	English
Pages (from-to)	183-193
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	230
Issue number	1
DOIs	https://doi.org/10.1007/s11856-018-1813-y
Publication status	Published - Mar 1 2019
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s11856-018-1813-y

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title = "Mean dimension of full shifts",

abstract = " Let K be a finite-dimensional compact metric space and K ℤ 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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AB - Let K be a finite-dimensional compact metric space and K ℤ 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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JF - Israel Journal of Mathematics

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Mean dimension of full shifts

Abstract

All Science Journal Classification (ASJC) codes

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