Set of continuity points of functions with values in generalized metric spaces

We study continuity points of functions with values in generalized metric spaces. We define the generalized oscillation, which is a useful tool in our study. Let X be a topological space and Y be a weakly developable space. Let ƒ

: X →Y be a function. Then the set C (ƒ) of continuity points of ƒis a Gδ-set in X. Some results concerning continuity points of separately continuous functions as well as functions with closed graphs are also given.