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