  We formulate several conditions (two of them are necessary and sufficient)
which imply that a space of small character has large weight. In section 3 we
construct a ZFC example of a first countable 0-dimensional space X of size
2^omega with w(X)=2^omega and nw(X)=omega, we show that CH implies the
existence of a 0-dimensional space Y of size omega_1 with w(Y)=nw(Y)=omega_1
and chi(Y)=R(Y)=omega, and we prove that it is consistent that 2^omega is as
large as you wish and there is a 0-dimensional space Z of size 2^omega such
that w(Z)=nw(Z)=2^omega but chi(Z)=R(Z^omega)=omega.
