3 citations · 4 across the 5 of their papers we have counts for
6 papers
Partial Tower Sealing
Grigor Sargsyan, Nam Trang
The main result of this paper shows that a weak form of Tower Sealing holds in a generic extension of hod mice with a strong cardinal and a proper class of Woodin cardinals. We sho…
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…
Non-tame mice from tame failures of the unique branch hypothesis
Grigor Sargsyan, Nam TRang
In this paper, we show that the failure of the unique branch hypothesis (UBH) for tame trees (see \rdef{tame iteration tree}) implies that in some homogenous generic extension of $…