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A property of effectivization and its uses in categorical logic
Theory and applications of categories, Tome 32 (2017), pp. 769-779 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We show that a fully faithful and covering regular functor between regular categories induces a fully faithful (and covering) functor between their respective effectivizations. Such a functor between effective categories is known to be an equivalence. We exploit this result in order to give a constructive proof of conceptual completeness for regular logic. We also use it in analyzing what it means for a morphism between effective categories to be a quotient in the 2-category of effective categories and regular functors between them.

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Classification : 18C20, 18F20, 03G30
Keywords: regular category, effectivization, pretopos, conceptual completeness, quotient 
@article{TAC_2017_32_a21,
     author = {Vasileios Aravantinos-Sotiropoulos and Panagis Karazeris},
     title = {A property of effectivization and its uses in categorical logic},
     journal = {Theory and applications of categories},
     pages = {769--779},
     year = {2017},
     volume = {32},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a21/}
}
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Vasileios Aravantinos-Sotiropoulos; Panagis Karazeris. A property of effectivization and its uses in categorical logic. Theory and applications of categories, Tome 32 (2017), pp. 769-779. http://geodesic.mathdoc.fr/item/TAC_2017_32_a21/