{"id":"openai-math/A-Codimension-One-Bound-for-the-Singular-Set-of-a-Stationary-Integral-Varifold","pdf":"https://github.com/openai/math/blob/main/preprints/A-Codimension-One-Bound-for-the-Singular-Set-of-a-Stationary-Integral-Varifold-October-5-2026/varifold-singular-dimension.pdf","url":"https://github.com/openai/math/tree/main/preprints/A-Codimension-One-Bound-for-the-Singular-Set-of-a-Stationary-Integral-Varifold-October-5-2026","tags":["geometric-measure-theory","varifolds","regularity"],"score":0,"title":"A Codimension-One Bound for the Singular Set of a Stationary Integral Varifold","domain":"Differential geometry","family":"346","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.DG","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Sharp singular-set bounds for stationary integral varifolds"}