51 citations · 273 across the 33 of their papers we have counts for
4 papers · 2 filters
-Abstract Elementary Classes and other generalizations
Will Boney, Rami Grossberg, Michael Lieberman +2
We introduce -Abstract Elementary Classes (-AECs) as a broad framework for model theory that includes complete boolean algebras and Dirichlet series, and begin to develop the…
Approximations of superstability in concrete accessible categories
Michael Lieberman, Jiri Rosicky
We generalize the constructions and results of Chapter 10 in Baldwin's "Categoricity" to coherent accessible categories with concrete directed colimits and concrete monomorphisms.…
Limits of abstract elementary classes
M. Lieberman, J. Rosický
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, Zamb…
Metric abstract elementary classes as accessible categories
Michael Lieberman, Jiri Rosicky
We show that metric abstract elementary classes (mAECs) are, in the sense of [LR] (i.e. arXiv:1404.2528), coherent accessible categories with directed colimits, with concrete $\ale…