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

Remark: Family 366. The planar Mumford–Shah regularity conjecture

Family claims › Partial differential equations · lines 2369–2374

OpenAI@2026-10-07#rem:oai-366

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Resolves the interior regularity conjecture for reduced absolute planar Mumford–Shah minimizers with bounded fidelity data. Locally, the closed discontinuity set is a arc, a regular crack tip, or three arcs meeting at ; only finitely many global connected components meet any compact interior region.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

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