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

Remark: Family 312. The Grothendieck homotopy hypothesis

Family claims › Topology · lines 2042–2047

OpenAI@2026-10-07#rem:oai-312

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Proves the Grothendieck homotopy hypothesis for -groupoids associated with every Grothendieck coherator in the Ara–Henry convention: these algebraic objects recover the homotopy theory of spaces.

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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