On simultaneously reflective and coreflective subcategories of functor categories

Bachuki Mesablishvili

The purpose of this paper is to give, in the context of enriched category theory, some equivalent conditions characterising simultaneously reflective and coreflective full subcategories of the category of functors on a given small category. In particular, it is proved that such subcategories are (equivalent to) functor categories.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 17(3) (2024), pp. 101-111