Commit 2025-11-23 19:05 67a1d732
View on Github →feat(Algebra/Homology): a factorization of morphisms of cochain complexes (#31559)
Let C be an abelian category with enough injectives. We show that any morphism f : K ⟶ L between bounded below cochain complexes in C can be factored as i ≫ p where i : K ⟶ L' is a monomorphism (with L' bounded below) and p : L' ⟶ L a quasi-isomorphism that is an epimorphism with a degreewise injective kernel. (This is part of the factorization axiom CM5 for a model category structure on bounded below cochain complexes.)
(This shall be used in the formalization of right derived functors using injective resolutions.)