26 citations · 35 across the 32 of their papers we have counts for
5 papers · 1 filter
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…
Generic Generators
Grigor Sargsyan
The goal of this paper is to present an approach to Hod Pair Capturing (HPC). is the most outstanding open problem of descriptive inner model theory. More specifically, we in…
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…
Determinacy in the Chang model
Takehiko Gappo, Grigor Sargsyan
Assuming the existence of a certain hod pair with a Woodin cardinal that is a limit of Woodin cardinals, we show that the Chang model satisfies in any set generic e…