3 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
The Largest Suslin Axiom
Grigor Sargsyan, Nam Trang
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 satisfi…
Ideals and Strong Axioms of Determinacy
Dominik Adolf, Grigor Sargsyan, Nam Trang +2
We show that the following two theories are equiconsistent: (T) ZFC, CH and "There is a dense ideal on the first uncountable cardinal such that if j is the generic embedding associ…
Sealing from Iterability
Grigor Sargsyan, Nam Trang
We obtain sealing by forcing over a self-iterable model. The proof is fine-structure free and uses only basic ideas from iteration theory. We believe that such fine-structure free…
The exact strength of generic absoluteness for the universally Baire sets
Grigor Sargsyan, Nam Trang
A set of reals is \textit{universally Baire} if all of its continuous preimages in topological spaces have the Baire property. is a type of generic absoluteness cond…