LIMITS IN FREE COPRODUCT COMPLETIONS

For a small category C with multilimits for finite diagrams, a concept ual description of its free coproduct completion Sigma(C) is given as the category of those set-valued functors of a finitely accessible cat egory with connected limits which preserve these limits and filtered c olimits. In this way we recognize the free coproduct completion as a f initely complete category and show that Sigma(C) is universal with res pect to existence of finite limits and of small coproducts which are d isjoint and stable under pullback.