Classification Diagrams of Marked Simplicial Sets
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913214503059456 |
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| author | Arakawa, Kensuke |
| author_facet | Arakawa, Kensuke |
| contents | We prove that the classification diagram functor from the category of marked simplicial sets to the category of bisimplicial sets carries cartesian equivalences to Rezk equivalences. As a corollary, we obtain Mazel-Gee's theorem on localizations of relative $\infty$-categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01101 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification Diagrams of Marked Simplicial Sets Arakawa, Kensuke Algebraic Topology Category Theory 18N60, 18A22, 55U35 We prove that the classification diagram functor from the category of marked simplicial sets to the category of bisimplicial sets carries cartesian equivalences to Rezk equivalences. As a corollary, we obtain Mazel-Gee's theorem on localizations of relative $\infty$-categories. |
| title | Classification Diagrams of Marked Simplicial Sets |
| topic | Algebraic Topology Category Theory 18N60, 18A22, 55U35 |
| url | https://arxiv.org/abs/2311.01101 |