11 papers
Unreachability of Inductive-Like Pointclasses in
Derek Levinson, Itay Neeman, Grigor Sargsyan
Hjorth proved from that there is no sequence of distinct sets of length . Sargsyan extended Hjorth's technique to show there is no sequence of disti…
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…
On -strongly measurable cardinals in extensions
Navin Aksornthong, Takehiko Gappo, James Holland +1
We show that in the extension of a certain Chang-type model of determinacy, if , then the restriction of the club filter on $κ\cap\m…
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…
Varsovian models II
Grigor Sargsyan, Ralf Schindler, Farmer Schlutzenberg
Assume the existence of sufficent large cardinals. Let be the minimal iterable proper class model satisfying "there are $δ_0<κ_0<\ldots<δ_{n-1}<κ_{n-1…
Towards a generic absoluteness theorem for Chang models
Sandra Müller, Grigor Sargsyan
Let be the set of all universally Baire sets of reals. Inspired by recent work of the second author and Nam Trang, we introduce a new technique for establishing generic…