Commit 2022-03-16 13:40 d495afdd
View on Github →feat(category_theory/abelian/injective_resolution): descents of a morphism (#12703)
This pr dualise src/category_theory/preadditive/projective_resolution.lean
. The reason that it is moved to abelian
folder is because we want exact f g
from exact g.op f.op
instance.
This pr is splitted from #12545. This pr contains the following:
Given I : InjectiveResolution X
and J : InjectiveResolution Y
, any morphism X ⟶ Y
admits a descent to a chain map J.cocomplex ⟶ I.cocomplex
. It is a descent in the sense that I.ι
intertwine the descent and the original morphism, see category_theory.InjectiveResolution.desc_commutes
.
(Docstring contains more than what is currently in the file, but everything else will come soon)