Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 346-01. A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold

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OpenAI@2026-10-07#rem:oai-p-346-01

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Authors: OpenAI. Family 346.

Title: A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold.

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.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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