Hu, Hongde; Tholen, Walter A note on free regular and exact completions and their infinitary generalizations. (English) Zbl 0872.18004 Theory Appl. Categ. 2, 113-132 (1996). The main result presents the free regular and exact completions of a weakly lex category \({\mathcal C}\) as full subcategories of the presheaf category \({\mathcal S} et^{{\mathcal C}^{op}}\). This new and very nice description is based on an idea of G. M. Kelly. Reviewer: J.Rosický (Brno) Cited in 8 Documents MSC: 18E10 Abelian categories, Grothendieck categories 18A35 Categories admitting limits (complete categories), functors preserving limits, completions 18G05 Projectives and injectives (category-theoretic aspects) Keywords:exact category; regular category; exact completion; free regular completion; accessible category; weakly lex category PDFBibTeX XMLCite \textit{H. Hu} and \textit{W. Tholen}, Theory Appl. Categ. 2, 113--132 (1996; Zbl 0872.18004) Full Text: EuDML EMIS