  In this paper we have studied the idea of ideal completeness of function
spaces Y to the power X with respect to pointwise uniformity and uniformity of
uniform convergence. Further involving topological structure on X we have
obtained relationships between the uniformity of uniform convergence on
compacta on Y to the power X and uniformity of uniform convergence on Y to the
power X in terms of I-Cauchy condition and I-convergence of a net. Also using
the notion of a k-space we have given a sufficient condition for C(X,Y) to be
ideal complete with respect to the uniformity of uniform convergence on
compacta.
