On orthogonal factorization systems and double categories
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915088099704832 |
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| author | Juran, Branko |
| author_facet | Juran, Branko |
| contents | We prove that the $\infty$-category of orthogonal factorization systems embeds fully faithfully into the $\infty$-category of double $\infty$-categories. Moreover, we prove an (un)straightening equivalence for double $\infty$-categories, which restricts to an (un)straightening equivalence for op-Gray fibrations and curved orthofibrations of orthogonal factorization systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01363 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On orthogonal factorization systems and double categories Juran, Branko Category Theory Algebraic Topology 18N60, 18N65, 18N10, 18A32 We prove that the $\infty$-category of orthogonal factorization systems embeds fully faithfully into the $\infty$-category of double $\infty$-categories. Moreover, we prove an (un)straightening equivalence for double $\infty$-categories, which restricts to an (un)straightening equivalence for op-Gray fibrations and curved orthofibrations of orthogonal factorization systems. |
| title | On orthogonal factorization systems and double categories |
| topic | Category Theory Algebraic Topology 18N60, 18N65, 18N10, 18A32 |
| url | https://arxiv.org/abs/2501.01363 |