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Questions about dimensions of possibly highly irregular or "rough" sets, Hausdorff–Besicovitch dimension and related concepts such as box-counting or Minkowski–Bouligand dimension.
16
votes
Hausdorff dimension of R x X
Yes, taking the product with $\mathbb{R}^n$ always increases
the Hausdorff dimension by exactly $n$, and here is a reference.
In the first paragraph of [1], Kaoru Hatano notes
(in slightly different …