Geodesic
On *-autonomous categories of topological modules
Theory and applications of categories, Tome 24 (2010), pp. 378-393 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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Let R be a commutative ring whose complete ring of quotients is R-injective. We show that the category of topological R-modules contains a full subcategory that is *-autonomous using R itself as dualizing object. In order to do this, we develop a new variation on the category chu(D,R), where D is the category of discrete R-modules: the high wide subcategory, which we show equivalent to the category of reflexive topological modules.

Classification : 16D90, 18D10
Keywords: *-autonomous, chu category, high and wide subcategory 
@article{TAC_2010_24_a13,
     author = {Michael Barr and John F. Kennison and R. Raphael},
     title = {On *-autonomous categories of topological modules},
     journal = {Theory and applications of categories},
     pages = {378--393},
     year = {2010},
     volume = {24},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2010_24_a13/}
}
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Michael Barr; John F. Kennison; R. Raphael. On *-autonomous categories of topological modules. Theory and applications of categories, Tome 24 (2010), pp. 378-393. http://geodesic.mathdoc.fr/item/TAC_2010_24_a13/