  The small object argument is a method for transfinitely constructing weak
factorization systems originally motivated by homotopy theory. We establish a
variant of the small object argument that is enriched over a cofibrantly
generated weak factorization system. This enriched variant of the small object
argument subsumes the ordinary small object argument for categories and also
certain variants of the small object argument for 2-categories,
(2,1)-categories, dg-categories and simplicially enriched categories. Along the
way, we show that enriched functor categories can be enriched over the Day
convolution monoidal product and in such a case become copowered.
