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Topological *-autonomous categories

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Michael Barr

Given an additive equational category with a closed symmetric
monoidal structure and a potential dualizing object, we find sufficient
conditions that the category of topological objects over that category
has a good notion of full subcategories of strong and weakly topologized
objects and show that each is equivalent to the chu category of the
original category with respect to the dualizing object.

Keywords:
duality, Chu construction, Mackey spaces

2000 MSC:
18D15,22D35, 46A20

*Theory and Applications of Categories,*
Vol. 16, 2006,
No. 25, pp 700-708.

http://www.tac.mta.ca/tac/volumes/16/25/16-25.dvi

http://www.tac.mta.ca/tac/volumes/16/25/16-25.ps

http://www.tac.mta.ca/tac/volumes/16/25/16-25.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/16/25/16-25.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/16/25/16-25.ps

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