What was already known
Hopkins and Smith classified thick subcategories of finite spectra. Hovey and Strickland proposed the corresponding classification for dualizable K(n)-local spectra, linked to stabilizer-invariant ideals of the Lubin–Tate deformation ring.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Resolves the Hovey–Strickland conjecture at every prime and positive height.
Limitations
The classification is for dualizable K(n)-local spectra and their ordinary thick tensor ideals; it is not a classification of all K(n)-local spectra.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, and prior-work review for non-notifying local inclusion; technical verification remains Reported.
Read this published revision