Essential localizations and infinitary exact completion

Enrico M. Vitale

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.


2000 MSC: 18A35, 18B15, 18C05, 18E10, 18E35, 18F20.

Theory and Applications of Categories, Vol. 8, 2001, No. 17, pp 465-480.

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