On the $\kappa$ -cub game on $\lambda $ and $I[\lambda

Abstract

We discuss the relationships between the notions of \(\kappa \)-cub game on \(\lambda \), \(\kappa \)-cub subset of \(\lambda \), the ideal of good subsets of \(\lambda \) and the problem of adding a \(\kappa \)-cub into a given \(\kappa \)-stationary subset of \(\lambda \). We also give a short introduction to the ideal of good subsets of \(\lambda \).