Abstract: In the paper, we define weakly δ-continuous correspondences on super-space, On the basis of δ-open(closed) sets,θ-open(closed) sets and regular open(closed) sets in topological space, some equivalent conditions of this kind of correspondences are obtained, and some applications of subset nets and convergence nets are given.

Key words: topological space, super-space, weakly δ-continuous correspondences, subset
nets