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

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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 
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/
@article{TAC_2015_30_a47,
     author = {M. Lieberman and J. Rosicky},
     title = {Limits of abstract elementary classes},
     journal = {Theory and applications of categories},
     pages = {1647--1658},
     year = {2015},
     volume = {30},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a47/}
}
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