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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 …
Samuel Lelièvre's user avatar