Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 319-01. Counterexamples to the Hahn-Wilson conjecture at height two
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OpenAI@2026-10-07#rem:oai-p-319-01
Authors: OpenAI. Family 319.
Title: Counterexamples to the Hahn-Wilson conjecture at height two.
Abstract: We disprove the Hahn–Wilson conjecture at height two. For every sufficiently large prime p, we construct a connective p-complete spectrum X of exact fp-type two outside the ordinary thick subcategory generated by the specified standard form of ${}mathrm{BP}{}langle2{}rangle_p{}{}wedge$. The same spectrum satisfies both localization comparisons $L_2{}fX{}simeq L_2X$ and $L_{T(2)}X{}simeq L_{K(2)}X$.
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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