2 papers
math.LO2024
On Stability and Existence of Models in Abstract Elementary Classes
Marcos Mazari-Armida, Sebastien Vasey, Wentao Yang
For an abstract elementary class and a cardinal , we prove under mild cardinal arithmetic assumptions, categoricity in two succesive cardinals, a…
math.LO2023
Building models in small cardinals in local abstract elementary classes
Marcos Mazari-Armida, Wentao Yang
There are many results in the literature where superstablity-like independence notions, without any categoricity assumptions, have been used to show the existence of larger models.…