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Questions about Hausdorff measures, their variants (such as spherical Hausdorff measures) and generalisations.
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Question about coverings of zero Hausdorff measure compact sets
Consider a compact set $E\subset \mathbb{R}^n$ ad assume that ${\cal H}^{n-1}(E)=0$.
If $\epsilon>0$, there is a finite covering of $E$ made of $N_\epsilon$ open balls $B_{r_{\epsilon,k}}(x_{\epsilon, …