Theory of Generalized Connectedness (g-Tg-Connectedness) in Generalized Topological Spaces (Tg-Spaces)

In this paper, the definitions of novel classes generalized connected sets (briefly, g-Tg-connected sets) and disconnected g-Tg-disconnected in topological spaces Tg-spaces) are defined terms g-Tg -sets) and, their properties characterizations with respect to set-theoretic relations presented. The basic notions local, pathwise, local pathwise simple g-Tg-connectedness also study shows that -connectedness implies g-Tg-connectedness, is a Tg-property. Diagrams establish various relationships amongst these types presented here literature, nice application supports overall theory.