3 papers
math.LO2026
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…
math.LO2026
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…
math.LO2025
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…