In this paper we introduce the notions of mean dimension and metric mean dimension for non-autonomous iterated function systems(NAIFSs for short)on countably infinite alphabets which can be regarded as generalizations of the mean dimension and the Lindenstrauss metric mean dimension for non-autonomous iterated function systems.We also show the relationship between the mean topological dimension and the metric mean dimension.
关键词
非自治迭代函数系统/平均维度/度量平均维数
Key words
Non-autonomous iterated function system/Mean dimension/Metric mean dimension
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