We prove the universal property of the infinitary exact completion of a category with weak small limits. As an application, we slightly weaken the conditions characterizing essential localizations of varieties (in particular, of module categories) and of presheaf categories.
Theory and Applications of Categories, Vol. 8, 2001, No. 17, pp 465-480 http://www.tac.mta.ca/tac/volumes/8/n17/n17.dvi http://www.tac.mta.ca/tac/volumes/8/n17/n17.ps http://www.tac.mta.ca/tac/volumes/8/n17/n17.pdf ftp://ftp.tac.mta.ca/pub/tac/html/volumes/8/n17/n17.dvi ftp://ftp.tac.mta.ca/pub/tac/html/volumes/8/n17/n17.psTAC Home