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arXiv · 2110.04679

Combinatorial model categories are equivalent to presentable quasicategories

Dmitri Pavlov
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Abstract

We establish a Dwyer-Kan equivalence of relative categories of combinatorial model categories, presentable quasicategories, and other models for locally presentable (infinity,1)-categories. This implies that the underlying quasicategories of these relative categories are also equivalent.

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Dmitri Pavlov. 2021-10-10. Combinatorial model categories are equivalent to presentable quasicategories. https://doi.org/10.1016/j.jpaa.2024.107860

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