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Hausdorff dimension, box dimension, packing dimension and similar concepts.

2 votes

Existence of subset with given Hausdorff dimension

The following is Corollary 7 of [1]. Theorem: For $X$ (an analytic subset of) a complete separable metric space, and $ s \in [0,\infty)$, the following is true about the Hausdorff measure $\mathcal{H …
Behnam Esmayli's user avatar
12 votes
Accepted

Unknown work of Nöbeling on topological/Hausdorff dimension

So, the sought for paper is: Nöbeling, G., Hausdorffsche und mengentheoretische Dimension, Ergebnisse math. Kolloquium Wien 3, 24-25 (1931). And here is a ``translation" (to English and to modern ma …
Behnam Esmayli's user avatar