Commit 2025-01-12 15:00 296f6b3b
View on Github →feat(CategoryTheory/Triangulated/Adjunction): the left adjoint of a triangulated functor is triangulated (#20543)
If a functor G : D ⥤ C
between pretriangulated categories is triangulated, and if we have an adjunction F ⊣ G
(that commutes with the shifts), then F
is also a triangulated functor.
We prove this from the symmetric statement (F
triangulated implies G
triangulated) using opposite categories.
- depends on: #20363