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Bibliographic Details
Main Author: Juran, Branko
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.01363
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Table of 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.