Closedness Of Certain Classes Of Functions In The Topology Of Uniform Convergence

In this paper, closedness of certain classes of functions in Y-X in the topology of uniform convergence is observed. In particular, we show that the function spaces SC( X, Y) of quasi continuous (equivalent to semi-continuous) functions, C-alpha ( X, Y) of alpha-continuous functions and L( X, Y) of cl-supercontinuous functions are closed in Y-X in the topology of uniform convergence.