[Merged by Bors] - feat: naturality of the isomorphisms induced by functors which preserves homology#7624
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[Merged by Bors] - feat: naturality of the isomorphisms induced by functors which preserves homology#7624
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…ves homology (#7624) If `F : C ⥤ D` is a functor which preserves homlogy (e.g. preserves finite limits/colimits), there is a natural isomorphism `F.mapShortComplex ⋙ ShortComplex.homologyFunctor D ≅ ShortComplex.homologyFunctor C ⋙ F` which expresses that `F` "commutes" with homology.
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…ves homology (#7624) If `F : C ⥤ D` is a functor which preserves homlogy (e.g. preserves finite limits/colimits), there is a natural isomorphism `F.mapShortComplex ⋙ ShortComplex.homologyFunctor D ≅ ShortComplex.homologyFunctor C ⋙ F` which expresses that `F` "commutes" with homology.
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If
F : C ⥤ Dis a functor which preserves homlogy (e.g. preserves finite limits/colimits), there is a natural isomorphismF.mapShortComplex ⋙ ShortComplex.homologyFunctor D ≅ ShortComplex.homologyFunctor C ⋙ Fwhich expresses thatF"commutes" with homology.