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The separated extensional Chu category

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Michael Barr

This paper shows that, given a factorization system, E/M on a
closed symmetric monoidal category, the full subcategory of separated
extensional objects of the Chu category is also star-autonomous under
weaker conditions than had been given previously ([Barr, 1991]). In the
process we find conditions under which the intersection of a full
reflective subcategory and its coreflective dual in a Chu category is
star-autonomous.

Keywords: *-autonomous categories, Chu construction, separated, extensional.

1991 MSC: 18D15, 46A20.

*Theory and Applications of Categories*, Vol. 4, 1998, No. 6, pp 137-147.

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