OpenAI reports the Hovey–Strickland thick-ideal classification

For every prime p and height n≥1, the dualizable K(n)-local stable-homotopy category has exactly n+2 thick tensor ideals, forming one strict chain; its Balmer spectrum has n+1 points.

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Understanding the problem

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For every prime p and height n≥1, the dualizable K(n)-local stable-homotopy category has exactly n+2 thick tensor ideals, forming one strict chain; its Balmer spectrum has n+1 points.

Why it matters

If correct, resolves the Hovey–Strickland conjecture at every prime and positive height.

What counts as progress

Are chromatic height strata the only thick tensor ideals among dualizable K(n)-local spectra?

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