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arXiv · 2501.01363

On orthogonal factorization systems and double categories

Branko Juran
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Abstract

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.

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Branko Juran. 2025-01-02. On orthogonal factorization systems and double categories. https://arxiv.org/abs/2501.01363

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