On Products of $\hat{I}”$-sets

Rodrigo Rey Carvalho, Vinicius de Oliveira Rodrigues

We prove the consistency of the existence of a $Q$-set whose square is not a $\hat{I}”$-set and that if there is a $\hat{I}”$-set, then there exists a $\hat{I}”$-set whose all finite powers are $\hat{I}”$…