Every integral cycle can be approximated in flat norm by a smooth submanifold of nearly the same mass, with singularities confined to a codimension-5 skeleton, and this codimension is optimal.
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Optimal smooth approximation of integral cycles
Every integral cycle can be approximated in flat norm by a smooth submanifold of nearly the same mass, with singularities confined to a codimension-5 skeleton, and this codimension is optimal.