OpenAI reports filtered chromatic splitting at generic primes

For each n≥1 and prime p>n+1, the spectrum Lₙ₋₁L_{K(n)} of the p-completed sphere has an ordered 2ⁿ-stage filtration with the classical chromatic-splitting cofibers, whose first-stage map to the target is the canonical localization unit.

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Understanding the problem

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For each n≥1 and prime p>n+1, the spectrum Lₙ₋₁L_{K(n)} of the p-completed sphere has an ordered 2ⁿ-stage filtration with the classical chromatic-splitting cofibers, whose first-stage map to the target is the canonical localization unit.

Why it matters

If correct, realizes the expected chromatic-splitting layers and canonical unit across all heights at primes p>n+1.

What counts as progress

Do the expected chromatic-splitting layers form a filtration at generic primes?

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