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Let C be a class of topological abelian groups and SPC denote the full subcategory of subobjects of products of objects of C. We say that SPC has Mackey coreflections if there is a functor that assigns to each object A of SPC an object τ A that has the same group of characters as A and is the finest topology with that property. We show that the existence of… (More)
This paper shows how the use of the " Chu construction " can simplify the rather complicated construction of the *-autonomous category of reflexive ζ-ζ *-balls set up by the first author in the original papers and lecture notes on *-autonomous categories ([ Barr , 1976 , 1979 ]) .