We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses the reflection principle MRP introduced by Moore in [11].
R FOR TAME ABSTRACT ELEMENTARY CLASSES RAMI GROSSBERG AND MONICA VANDIEREN We prove a categoricity transfer theorem for tame abstract elementary classes.
We prove conjugacy and generic disjointness of generous Carter subgroups in groups of finite Morley rank. We elaborate on groups with a generous Carter subgroup and on a minimal c...