Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 317. Thomason model structures in every strict higher dimension
Family claims › Topology · lines 2072–2077
OpenAI@2026-10-07#rem:oai-317
Resolves the Ara–Maltsiniotis conjecture: for every and , small strict globular -categories admit proper combinatorial Thomason model structures Quillen equivalent to simplicial sets. Thus strict higher categories model the homotopy theory of spaces in every stated dimension.
The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
- remark: Remark: Family 304. The Hilbert–Smith conjecture in every dimension
- remark: Remark: Family 305. Counterexamples to disk embedding and Wall's manifold conjecture
- remark: Remark: Family 306. The purely cosmetic surgery conjecture for knots in S 3
- remark: Remark: Family 307. Failure of rational injectivity for maximal coarse assembly
- remark: Remark: Family 308. Smith–Toda complexes at every height with varying primes
- remark: Remark: Family 309. The Kervaire invariant problem at the prime three
- remark: Remark: Family 310. Quillen's conjecture in rational homology
- remark: Remark: Family 311. Chai's invariant-ideal conjecture