Assouad and Lower Dimensions of Some Homogeneous Cantor Sets

We compute the Assouad dimensions and the lower dimensions of a class of homogeneous Cantor sets without the condition that the smallest compression ratio C⋆>0 and find that the lower dimension of a homogeneous Cantor set E may be any a number in the interval 0,dimHE and the Assouad dimension of...

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Bibliographic Details
Main Author: Xiao JiaQing
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/3501228
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