A characterization of splitting topologies on the set C(Y, F)

D. N. Georgiou, S. D. Iliadis, B. K. Papadopoulos

Let F={0, 1, 2, ..., n} be a finite topologica space. By C(Y, F)  we denote the set of all continuous maps of Y into F. We give a necessary and sufficient condition for a topology on the set C(Y, F) to be splitting. Using this condition we characterize the greatest splitting topology on C(Y, F).