We will continue the talk of 10.11. We will show two theorems
left from 10.11 that $C(\beta N)$ has the Grothendieck property (this
strengthens the nonexistence of nontrivial convergent sequences in $\beta N$)
and the conditions equivalent to the Grothendieck property for $C(K)$
spaces. This naturally leads to considering the weak compactness in the
space of measures and its characterizations.