Geodesic
The separated extensional Chu category
Theory and applications of categories, Tome 4 (1998), pp. 137-147.

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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.
Classification : 18D15, 46A20.
Keywords: *-autonomous categories, Chu construction, separated, extensional. 
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     author = {Michael Barr},
     title = {The separated extensional {Chu} category},
     journal = {Theory and applications of categories},
     pages = {137--147},
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     volume = {4},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1998_4_a5/}
}
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Michael Barr. The separated extensional Chu category. Theory and applications of categories, Tome 4 (1998), pp. 137-147. http://geodesic.mathdoc.fr/item/TAC_1998_4_a5/