Commit 2024-06-03 18:57 d6ea8fe0
View on Github →feat(CategoryTheory/Shift): functors from a category to a category with a shift (#12607)
Given a category C
, and a category D
equipped with a shift by a monoid A
, we define a structure SingleFunctors C D A
which contains the data of functors functor a : C ⥤ D
for all a : A
and isomorphisms shiftIso n a a' h : functor a' ⋙ shiftFunctor D n ≅ functor a
whenever n + a = a'
. These isomorphisms should satisfy certain compatibilities with respect to the shift on D
.