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Currently I am reading some basic literature on descriptive set theory and boolean algebras. And this comes out a lot, for example in results like: Let $X$ and $Y$ be topological spaces, and $f:X \to ...

I am interested in the name for the following property of a Boolean algebra $\mathcal A$ of subsets of a set $X$: $(\star)$ for any sequence $(A_n)_{n\in\omega}$ of pairwise disjoint nonempty sets in $...