[Merged by Bors] - feat(Algebra/Homology): consequences of the homology sequence#12638
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[Merged by Bors] - feat(Algebra/Homology): consequences of the homology sequence#12638
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In this PR, we show that the homology sequence attached to a short exact sequence of homological complexes is functorial with respect to a morphism `φ : S₁ ⟶ S₂` between two such short exact sequences. We show that if `φ.τ₁` and `φ.τ₂` are quasi-isomorphisms, then so is `φ.τ₃`. (Other similar lemmas shall be obtained in a future PR.)
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In this PR, we show that the homology sequence attached to a short exact sequence of homological complexes is functorial with respect to a morphism `φ : S₁ ⟶ S₂` between two such short exact sequences. We show that if `φ.τ₁` and `φ.τ₂` are quasi-isomorphisms, then so is `φ.τ₃`. (Other similar lemmas shall be obtained in a future PR.)
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In this PR, we show that the homology sequence attached to a short exact sequence of homological complexes is functorial with respect to a morphism
φ : S₁ ⟶ S₂between two such short exact sequences. We show that ifφ.τ₁andφ.τ₂are quasi-isomorphisms, then so isφ.τ₃. (Other similar lemmas shall be obtained in a future PR.)