On almost cl-supercontinuous functions

Abstract

Recently the class of almost cl-supercontinuous functions between topological spaces has been studied in some detail. We conside rthis class of functions from the point of view of change(s) of topology. In particular, we conclude that this class of functions coincides with the usual class of continuous functions when the domain and codomain have been retopologized appropriately. Some of the consequences of this fact are considered in this paper.

Keywords

• Change of topology
• Cl-supercontinuity
• Almost cl-supercontinuity
• Continuity
• Almost continuity
• Perfect continuity
• Almost perfect continuity
• Slightly continuous