Stone space partitions indexed by a poset
Stone space partitions indexed by a poset
Stone space partitions $\{X_{p}\mid p\in P\}$ satisfying conditions like $\bar{X_{p}}=\bigcup_{q\leqslant p}X_{q}$ for all $p\in P$, where $P$ is a poset or PO system (poset with a distinguished subset), arise naturally in the study both of primitive Boolean algebras and of $\omega$-categorical structures. A key concept for studying such partitions is …