2 citations · 2 across the 8 of their papers we have counts for
8 papers
Cardinal invariants of idealized Miller null sets
Aleksander Cieślak, Takehiko Gappo, Arturo Martínez-Celis +1
This paper provides an extensive study of the -Miller null ideals , -ideals on the Baire space parametrized by ideals on countable sets…
Long games just beyond fixed countable length
Takehiko Gappo, Sandra Müller
We introduce a new type of game on natural numbers of variable countable length, which can be regarded as a diagonalization of all games of fixed countable length on natural number…
Separating Maximality Principles
Takehiko Gappo, Andreas Lietz
We investigate fragments of generic absoluteness principles known as Maximality Principles. We determine the consistency strength of - and -$\math…
Generic Absoluteness Revisited
Sakaé Fuchino, Takehiko Gappo, Francesco Parente
The present paper is concerned with the relation between recurrence axioms and Laver-generic large cardinal axioms in light of principles of generic absoluteness and the Ground Axi…
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…
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…
On the derived models of self iterable universes
Grigor Sargsyan, Takehiko Gappo
We show that if the universe is self-iterable and is an inaccessible limit of Woodin cardinal then is regular" holds in the derived model at . The proof is fine-…