Geodesic
Aspects of fractional exponent functors
Theory and applications of categories, Tome 5 (1999), pp. 251-265.

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

We prove that certain categories arising from atoms in a Grothendieck topos are themselves Grothendieck toposes. We also investigate enrichments of these categories over the base topos; there are in fact often two distinct enrichments.
Classification : 18B25, 18D20.
Keywords: atom, coalgebra, enrichment. 
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     author = {Anders Kock and Gonzalo E. Reyes},
     title = {Aspects of fractional exponent functors},
     journal = {Theory and applications of categories},
     pages = {251--265},
     publisher = {mathdoc},
     volume = {5},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1999_5_a9/}
}
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Anders Kock; Gonzalo E. Reyes. Aspects of fractional exponent functors. Theory and applications of categories, Tome 5 (1999), pp. 251-265. http://geodesic.mathdoc.fr/item/TAC_1999_5_a9/