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Results tagged with geometric-measure-theory
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user 54267
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
4
votes
Accepted
Subsets of sets of positive Hausdorff dimension with controlled upper Minkowski dimension
A counterexample:
Let $E = \{0,1\}$ and let $\pi:E^{\mathbb N}\to [0,1]$ be the coding map for the Cantor set. Now fix $N\in\mathbb N$, let
$$
A = \{n\in\mathbb N : \lfloor \log_N(n)\rfloor \text{ is …
