[Merged by Bors] - feat(Algebra/Homology): relax assumptions for Functor.mapHomologicalComplex #12174
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…omplex (#12174) The extension of a functor `F` to a functor between categories of homological complex is now defined under the assumption `F.PreservesZeroMorphisms` rather than `F.Additive`.
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…omplex (#12174) The extension of a functor `F` to a functor between categories of homological complex is now defined under the assumption `F.PreservesZeroMorphisms` rather than `F.Additive`.
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…omplex (#12174) The extension of a functor `F` to a functor between categories of homological complex is now defined under the assumption `F.PreservesZeroMorphisms` rather than `F.Additive`.
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…omplex (#12174) The extension of a functor `F` to a functor between categories of homological complex is now defined under the assumption `F.PreservesZeroMorphisms` rather than `F.Additive`.
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…omplex (#12174) The extension of a functor `F` to a functor between categories of homological complex is now defined under the assumption `F.PreservesZeroMorphisms` rather than `F.Additive`.
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The extension of a functor
Fto a functor between categories of homological complex is now defined under the assumptionF.PreservesZeroMorphismsrather thanF.Additive.I intend to use this for the construction of flat resolutions of chain complexes of modules. The issue is that the functor which sends a module
Mto the quotientFree M / Free {0}(whereFree Mis the free module with basis the setM) preserves zero morphisms, but is not additive.