ScalingStacks

Theorem 5.5 . [04E1]

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Theorem 5.5.

(Almgren’s big regularity theorem [5]) Let LL be a compactly supported mm-dimensional closed integral current inside a complete Riemannian manifold, which minimizes the volume among all closed integral currents in the same homology class, then away from a closed subset S⊂supp​(L)S\subset\text{supp}(L)with Hausdorff dimension at most m−2m-2, the rectifiable subset supp​(L)∖S\text{supp}(L)\setminus S is a smooth submanifold.

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