Combinatorial model categories are equivalent to presentable quasicategories
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Accesso online: | |
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| _version_ | 1866915144851783680 |
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| author | Pavlov, Dmitri |
| author_facet | Pavlov, Dmitri |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_04679 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Combinatorial model categories are equivalent to presentable quasicategories Pavlov, Dmitri Algebraic Topology Category Theory K-Theory and Homology 55U35, 18N40 (Primary) 18N60, 18N50, 18N10 (Secondary) 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. |
| title | Combinatorial model categories are equivalent to presentable quasicategories |
| topic | Algebraic Topology Category Theory K-Theory and Homology 55U35, 18N40 (Primary) 18N60, 18N50, 18N10 (Secondary) |
| url | https://arxiv.org/abs/2110.04679 |