OPENAI MATHEMATICS COLLECTION · FAMILY 346
A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold
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Abstract
The singular set of every stationary integral m-varifold in an open Euclidean set has Hausdorff dimension at most m-1, in every positive dimension and codimension. This sharp bound proves the Euclidean singular-set conjecture recorded by Brena, Decio, and De Lellis.
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