Minimally generated Boolean algebras and the Nikodym property

A Boolean algebra has the Nikodym property if every pointwise bounded sequence of finitely additive measures on is uniformly bounded. Assuming Diamond Principle ◇, we will construct an example a minimally generated with property. The Stone space such must necessarily be Efimov space. converse is, however, not true—again under ◇ provide whose but which does have results interesting measure-theoretic and topological consequences.