Classification diagrams of simplicial categories
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909858924593152 |
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| author | Arakawa, Kensuke |
| author_facet | Arakawa, Kensuke |
| contents | We show that the classification diagram of a relative $\infty$-category arising from a relative simplicial category is equivalent to the levelwise nerve. Applications include the comparison of the diagonal of the levelwise nerve and the homotopy coherent nerve, and a result on the levelwise localizations of simplicial categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16855 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification diagrams of simplicial categories Arakawa, Kensuke Algebraic Topology Category Theory 18N60, 55U40, 55U35 We show that the classification diagram of a relative $\infty$-category arising from a relative simplicial category is equivalent to the levelwise nerve. Applications include the comparison of the diagonal of the levelwise nerve and the homotopy coherent nerve, and a result on the levelwise localizations of simplicial categories. |
| title | Classification diagrams of simplicial categories |
| topic | Algebraic Topology Category Theory 18N60, 55U40, 55U35 |
| url | https://arxiv.org/abs/2401.16855 |