OpenAI reports height-two Hahn–Wilson counterexamples

For every sufficiently large prime p, a connective p-complete spectrum of exact fp-type two lies outside the ordinary thick subcategory generated by the specified standard BP⟨2⟩ p-completion, even though its finite and telescopic localization comparisons hold.

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Understanding the problem

Read the background

For every sufficiently large prime p, a connective p-complete spectrum of exact fp-type two lies outside the ordinary thick subcategory generated by the specified standard BP⟨2⟩ p-completion, even though its finite and telescopic localization comparisons hold.

Why it matters

If correct, disproves that universal thick-generation conjecture already at height two for sufficiently large primes.

What counts as progress

Do the Hahn–Wilson hypotheses force ordinary thick generation at height two?

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