Abstract
We present an approach to construct factorization systems in abstract categories. It gives new factorization systems from some given ones, when we have a relevant family of adjunctions between slice categories. The approach is based on the notion of a local factorization system, which is introduced in this paper. Relations between local factorization systems and full replete reflective subcategories of corresponding slice categories are investigated. Several applications of this approach are given.
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Zangurashvili, D. Adjunctions and Locally Transferable Factorization Systems. Applied Categorical Structures 9, 625–650 (2001). https://doi.org/10.1023/A:1012523304120
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DOI: https://doi.org/10.1023/A:1012523304120