The Largest Suslin Axiom
arXiv:2112.04396
Abstract
We develop the basic fine structure theory of the minimal model of the Largest Suslin Axiom. In particular, we prove that that the minimal model of the Largest Suslin Axiom satisfies the Mouse Set Conjecture, and that the Proper Forcing Axiom implies the minimal model of the Largest Suslin Axiom exists.
This is the version that was sent to ASL, Lecture Notes in Logic