ON A GENERALIZATION OF SLIGHT CONTINUITY

In 2002 Baker [1] introduced the notion of slightly precontinuous functions. In that paper, it is shown that the slightly precontinuous image of a preconnected space is connected. In this paper, we consider and study a weaker form of slightly precontinuity, precontinuity, alpha-continuity, alpha-irresoluteness and strongly alpha-irresoluteness called slightly delta-precontinuity. Furthermore, basic properties, preservation theorems and relationships of slightly delta-precontinuous functions are investigated.