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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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Topological properties of the dual of differential forms
Notation:
$U \subset R^n$, bounded open set
$D^k(U) = \{ \omega : U \to \Lambda^k R^n : \text{compactly supported and infinitely differentiable \}}$
$D_k(U) = D^k(U)'$ is the topological dual space ( …