Geodesic
Star-autonomous functor categories
Theory and applications of categories, Tome 20 (2008), pp. 307-333

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We construct a star-autonomous structure on the functor category $K^J$, where $J$ is small, $K$ is small-complete, and both are star-autonomous. A weaker result, that $K^J$ admits a linear distributive structure, is also shown under weaker hypotheses. The latter leads to a deeper understanding of the notion of linear functor.

Classification : 18D10, 18D15
Keywords: Linear distributive categories, star-autonomous categories, functor categories 
@article{TAC_2008_20_a10,
     author = {Jeff Egger},
     title = {Star-autonomous functor categories},
     journal = {Theory and applications of categories},
     pages = {307--333},
     publisher = {mathdoc},
     volume = {20},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2008_20_a10/}
}
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Jeff Egger. Star-autonomous functor categories. Theory and applications of categories, Tome 20 (2008), pp. 307-333. http://geodesic.mathdoc.fr/item/TAC_2008_20_a10/