What was already known
Thomason established the one-dimensional category case. Ara and Maltsiniotis conjectured the analogous model structures in higher strict dimensions.
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 higher-dimensional Thomason model-structure conjecture across all stated dimensions.
Limitations
The claim uses the twice-subdivided categorification and twice-extended Street nerve adjunction, within a fixed small-set universe.
Technical verification
OpenAI reports a Lean proof matching the selected claim.
Formal checking
The pinned Lean note covers existence, properness, combinatoriality, the Quillen equivalence and Street-nerve weak equivalences in all stated dimensions.
- Checker
- OpenAI-reported Lean 4 / Comparator
- Scope
- For every positive finite n and n=ω, small strict globular n-categories admit a proper combinatorial Thomason model structure Quillen equivalent to simplicial sets, with weak equivalences detected by the Street nerve.
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
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, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision