Bartosz Milewski 7/26/2025

(Weak) Factorization Systems

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This technical article delves into factorization systems in category theory, starting with the classic (Surj, Inj) factorization of functions. It explains strict factorization systems with functoriality and then relaxes the conditions to define weak factorization systems using lifting properties, drawing connections to concepts like cofibrations and fibrations from homotopy theory.

(Weak) Factorization Systems

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