works on
cardinal invariants 1consistency results 1continuum hypothesis 1set theory 1universally null sets 1

From the 1 of 3 linked papers with an AI index.

activity
20242026
collaborators

3 papers

math.LO2026

Cardinal invariants on universally null sets

Tatsuya Goto

The paper studies cardinal characteristics of the ideal of universally null sets, establishing ZFC inequalities such as 𝔟 < cof(UN) and non(N)=non(UN)<cof(UN), and proving consist…

math.LO2025

Goldstern's principle about unions of null sets

Tatsuya Goto

Goldstern showed in his 1993 paper that the union of a real-parametrized, monotone family of Lebesgue measure zero sets has also Lebesgue measure zero provided that the sets are un…

math.LO2024

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…