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Are there additive subgroups of reals of dimension 1 with no subgroups of dimension strictly between 0 and 1?
I will use $dimA$ to denote the Hausdorff dimension of a set $A \subseteq \mathbb{R}$. Being a null set means having Lebesgue measure zero.
In the 1966 paper "Additive gruppen mit vorgegebener ...
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