Geodesic
Limits of abstract elementary classes
Theory and applications of categories, Tome 30 (2015), pp. 1647-1658

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

We show that the category of abstract elementary classes (AECs) and concrete functors is closed under constructions of ``limit type," which generalizes the approach of Mariano, Zambrano and Villaveces away from the syntactically oriented framework of institutions. Moreover, we provide a broader view of this closure phenomenon, considering a variety of categories of accessible categories with additional structure, and relaxing the assumption that the morphisms be concrete functors.

Publié le :
Classification : 18C35, 03C48, 03C95
Keywords: accessible category, abstract elementary class, PIE limit 
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     author = {M. Lieberman and J. Rosicky},
     title = {Limits of abstract elementary classes},
     journal = {Theory and applications of categories},
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     publisher = {mathdoc},
     volume = {30},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a47/}
}
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M. Lieberman; J. Rosicky. Limits of abstract elementary classes. Theory and applications of categories, Tome 30 (2015), pp. 1647-1658. http://geodesic.mathdoc.fr/item/TAC_2015_30_a47/