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Results tagged with geometric-measure-theory
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user 1004
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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Is arbitrary union of closed balls in $\mathbb{R}^n$ Lebesgue measurable?
No, in dimension $N>1$, it does not have to be Borel measurable. E.g., in 2 dimensions, consider, a non Borel measurable subset of the reals $S$, and let $A$ be the union of closed unit balls centered …
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