  Let B(kappa, lambda) be the subalgebra of P(kappa) generated by [kappa]^{<=
lambda}. It is shown that if B is any homomorphic image of B(kappa, lambda)
then either |B|< 2^lambda or |B|=|B|^lambda, moreover if X is the Stone space
of B then either |X| <= 2^{2^lambda} or |X|=|B|=|B|^lambda. This implies the
existence of 0-dimensional compact T_2 spaces whose cardinality and weight
spectra omit lots of singular cardinals of ``small'' cofinality.
