2023/08/23 by Jorge Antonio Cruz Chapital, Tatsuya Goto, Chapital, Jorge Antonio Cruz +3 · 1 citation
Mathematics · #math.LO
paper · pdf · doi:10.48550/arxiv.2308.12136
We investigate game-theoretic variants of cardinal invariants of the continuum. The invariants we treat are the reaping number \mathfrakr, the bounding number \mathfrakb, the dominating number \mathfrakd, and the additivity number of the null ideal add(null). We also consider games, called tallness games, defined according to ideals on ω and characterize that each of Player I and Player II has a winning strategy.