Ranks of $\mathcal{F}$-limits of filter sequences

Adam Kwela, Ireneusz Recław

We give an exact value of the rank of an $\mathcal{F}$-Fubini sum of filters for the case where $\mathcal{F}$ is a Borel filter of rank $1$. We also consider $\mathcal{F}$-limits o…