Lifting Enhanced Factorization Systems to Functor 2 -Categories

2016/04/22 by Peter J. Haine, Haine, Peter J.
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1604.06812

openalex publication_date 2016/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give sufficient conditions for lifting an enhanced factorization system (E, M) on a 2 -category D to the functor 2 -category D^C , where C is a small 2 -category. Due to previous work of Lack, our work provides coherence results for 2 -monads on functor 2 -categories. These coherence results are of immediate interest to an ongoing collaboration of Guillou, May, Merling, and Osorno on equivariant infinite loop space theory.

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• Factorization systems in ∞-categories
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• Factorization systems and double categories
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