[Merged by Bors] - feat(Algebra/Homology): action of a bifunctor on cochain complexes and shifts #10880
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…o homological-complex-mapbifunctor + more API
…' into homological-complex-mapbifunctor-homotopy
… on the first variable
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…d shifts (#10880) In this PR, we introduce the abbreviation `CochainComplex.mapBifunctor K₁ K₂ F` for `K₁` and `K₂` two cochain complexes, and `F` a bifunctor. We obtain isomorphisms which express the behavior of this construction with respect to shifts on both variables: `mapBifunctor (K₁⟦x⟧) K₂ F ≅ (mapBifunctor K₁ K₂ F)⟦x⟧` and `mapBifunctor K₁ (K₂⟦y⟧) F ≅ (mapBifunctor K₁ K₂ F)⟦y⟧`. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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…d shifts (#10880) In this PR, we introduce the abbreviation `CochainComplex.mapBifunctor K₁ K₂ F` for `K₁` and `K₂` two cochain complexes, and `F` a bifunctor. We obtain isomorphisms which express the behavior of this construction with respect to shifts on both variables: `mapBifunctor (K₁⟦x⟧) K₂ F ≅ (mapBifunctor K₁ K₂ F)⟦x⟧` and `mapBifunctor K₁ (K₂⟦y⟧) F ≅ (mapBifunctor K₁ K₂ F)⟦y⟧`. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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…d shifts (#10880) In this PR, we introduce the abbreviation `CochainComplex.mapBifunctor K₁ K₂ F` for `K₁` and `K₂` two cochain complexes, and `F` a bifunctor. We obtain isomorphisms which express the behavior of this construction with respect to shifts on both variables: `mapBifunctor (K₁⟦x⟧) K₂ F ≅ (mapBifunctor K₁ K₂ F)⟦x⟧` and `mapBifunctor K₁ (K₂⟦y⟧) F ≅ (mapBifunctor K₁ K₂ F)⟦y⟧`. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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…d shifts (#10880) In this PR, we introduce the abbreviation `CochainComplex.mapBifunctor K₁ K₂ F` for `K₁` and `K₂` two cochain complexes, and `F` a bifunctor. We obtain isomorphisms which express the behavior of this construction with respect to shifts on both variables: `mapBifunctor (K₁⟦x⟧) K₂ F ≅ (mapBifunctor K₁ K₂ F)⟦x⟧` and `mapBifunctor K₁ (K₂⟦y⟧) F ≅ (mapBifunctor K₁ K₂ F)⟦y⟧`. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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…d shifts (#10880) In this PR, we introduce the abbreviation `CochainComplex.mapBifunctor K₁ K₂ F` for `K₁` and `K₂` two cochain complexes, and `F` a bifunctor. We obtain isomorphisms which express the behavior of this construction with respect to shifts on both variables: `mapBifunctor (K₁⟦x⟧) K₂ F ≅ (mapBifunctor K₁ K₂ F)⟦x⟧` and `mapBifunctor K₁ (K₂⟦y⟧) F ≅ (mapBifunctor K₁ K₂ F)⟦y⟧`. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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In this PR, we introduce the abbreviation
CochainComplex.mapBifunctor K₁ K₂ FforK₁andK₂two cochain complexes, andFa bifunctor. We obtain isomorphisms which express the behavior of this construction with respect to shifts on both variables:mapBifunctor (K₁⟦x⟧) K₂ F ≅ (mapBifunctor K₁ K₂ F)⟦x⟧andmapBifunctor K₁ (K₂⟦y⟧) F ≅ (mapBifunctor K₁ K₂ F)⟦y⟧.