3 papers
math.LO2026
Two variants of minimality in forcing extensions
Martin Goldstern, Tatsuya Goto
We introduce d-minimal and b-minimal extensions, two weakenings of minimality based respectively on eventual domination and infinitely often domination. We prove that the generic e…
math.LO2026
Forcing and Cardinal Invariants of Universally Null Sets
Tatsuya Goto
We study universally null sets in forcing extensions and the cardinal invariants of their ideal . We prove that the Miller model contains a nonmeager universally null…
math.LO2023
Game-theoretic variants of cardinal invariants
Jorge Antonio Cruz Chapital, Tatsuya Goto, Yusuke Hayashi
We investigate game-theoretic variants of cardinal invariants of the continuum. The invariants we treat are the reaping number , the bounding number , t…