Commit 2024-04-29 20:47 9cbb31ee
View on Github →feat(CategoryTheory/Triangulated): homological functors (#11759)
A functor F : C ⥤ A
from a pretriangulated category to an abelian category is homological iff it sends distinguished triangles in C
to exact sequences in A
. In this PR, we define the corresponding type class F.IsHomological
. If F
is a homological functor, we introduce the strictly full triangulated subcategory F.homologicalKernel
.