OpenAI reports Thomason model structures in all strict higher dimensions

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.

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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.

Why it matters

If correct, resolves the higher-dimensional Thomason model-structure conjecture across all stated dimensions.

What counts as progress

Do strict higher categories admit Thomason model structures modeling spaces in every dimension?

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