Geodesic
Essential localizations and infinitary exact completion
Theory and applications of categories, Tome 8 (2001), pp. 465-480

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

We prove the universal property of the infinitary exact completion of a category with weak small limits. As an application, we slightly weaken the conditions characterizing essential localizations of varieties (in particular, of module categories) and of presheaf categories.

Classification : 18A35, 18B15, 18C05, 18E10, 18E35, 18F20.
Keywords: 
@article{TAC_2001_8_a16,
     author = {Enrico M. Vitale},
     title = {Essential localizations and infinitary exact completion},
     journal = {Theory and applications of categories},
     pages = {465--480},
     publisher = {mathdoc},
     volume = {8},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2001_8_a16/}
}
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Enrico M. Vitale. Essential localizations and infinitary exact completion. Theory and applications of categories, Tome 8 (2001), pp. 465-480. http://geodesic.mathdoc.fr/item/TAC_2001_8_a16/