Abstract
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 , dim H E and the Assouad dimension of E may be any a number in the interval dim ¯ B E , 1 .
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