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In analogy with the varietal case, we give an abstract characterization of those categories occurring as regular epireflective subcategories of presheaf categories such that the inclusion functor preserves small sums.
@article{TAC_2000_7_a11, author = {Enrico M. Vitale}, title = {Quasi-varieties of presheaves}, journal = {Theory and applications of categories}, pages = {236--238}, publisher = {mathdoc}, volume = {7}, year = {2000}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2000_7_a11/} }
Enrico M. Vitale. Quasi-varieties of presheaves. Theory and applications of categories, Tome 7 (2000), pp. 236-238. http://geodesic.mathdoc.fr/item/TAC_2000_7_a11/