26 citations · 35 across the 32 of their papers we have counts for
35 papers · 1 filter
Measures in Nairian models, I
Gabriel Goldberg, Grigor Sargsyan
Assuming , we show that the Ultrapower Axiom holds in for every -sequence of ordinals . We use this result to analyze t…
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…
A model of the Axiom of Determinacy in which every set of reals is universally Baire
Paul B. Larson, Grigor Sargsyan, Trevor Wilson
The consistency of the theory ``every set of reals is universally Baire'' is proved relative to ``there is a cardina…
AD implies that is a -Berkeley cardinal
Douglas Blue, Grigor Sargsyan
Following \cite{bagaria2019large}, given cardinals , we say is a club -Berkeley cardinal if for every transitive set of size such that , there is…
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\mathrm…
Chang models over derived models with supercompact measures
Takehiko Gappo, Sandra Müller, Grigor Sargsyan
Based on earlier work of the third author, we construct a Chang-type model with supercompact measures extending a derived model of a given hod mouse with a regular cardinal tha…