Y – Continuity and Y – Connectedness in Topological Space

In 2011 A.I. EL Maghrabi and A.M. Mubaraki introduced and studied the notions of Y - open and Y - closed sets in general topology as well as presented some characterizations of these notions. We introduce and investigate several properties and characterizations of a new class of maps between topological spaces called Y - open maps, Y - closed maps, Y - continuous maps and Y - irresolute maps. We also introduce slightly Y - continuous, totally Y - continuous and almost Y - continuous maps between topological spaces and establish several characterizations of these new forms of maps. Furthermore, we introduce and study the notions of Y - separated sets and Y - connectedness in topological spaces.