I am still trying to understand some enriched category theory. Suppose V is a closed symmetric monoidal category that is also locally presentable. Suppose C is a small V-category. I am interested in the category of V-functors from C to V, and, in particular, I want to know that it is locally presentable. Might need some hypotheses on C for this, but I would prefer to avoid hypotheses on the actual functors. This time I have actually looked in Kelly's book and I did not see it, but I confess to finding this subject rough going so might have missed it. On the other hand, my library is closed for the holiday, so I have not looked at Adamek and Rosicky's book on enriched category theory yet. I guess the generators ought to be the representable functors. I know everything is a weighted colimit of representables, but I don't know whether this colimit is filtered enough, nor do I know whether one can get away with weighted colimits instead of ordinary ones. One direction this might go is to develop a theory of locally presentable in an enriched sense, using weighted colimits instead of colimits. I would prefer to avoid that if possible. Happy holidays to all. Mark Hovey