Commit 2024-12-20 15:29 92c2d0cb
View on Github →feat(CategoryTheory/Enriched): functoriality of the enrichment of functor categories (#18414)
Let C
be a V
-enriched ordinary category. Functor categories J ⥤ C
have been V
-enriched in #18009. Given two functors F₁
and F₂
in J ⥤ C
, we use the previous results for functors Under j ⥤ C
for all j : J
in order to construct functorEnrichedHom V F₁ F₂ : J ⥤ V
, and show that the limit of this functor identifies to enrichedHom V F₁ F₂
.