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Results tagged with geometric-measure-theory
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user 19290
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
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answer
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Question on geometric measure theory
I want to know the following is well-known or not:
Let X be a metric space with Hausdorff dimension $\alpha$.
Then for any $\beta < \alpha$,
X contains a closed subset whose Hausdorff dimension is …
- 201