All Cantor sets are homeomorphic, but the Hausdorff dimension of a Cantor set depends on the particular metric being considered. While there are some special situations where the Hausdorff dimension of a set can be computed easily, in general calculating Hausdorff dimension seems difficult. I was wondering, however, if the Hausdorff dimension of the set of $p$-adic integers (which forms a Cantor set) is known for each $p$, and if so what a good reference for this would be.
2026-03-29 07:39:29.1774769969
Hausdorff dimension of the p-adic integers
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This question has been answered by Hagen von Eitzen in the comments: