Theory of Generalized Compactness in Generalized Topological Spaces: Part II. Countable, Sequential and Local Properties

In a recent paper, novel class of generalized compact sets (briefly, g-Tg -compact sets) in topological spaces Tg -spaces) has been studied. this the concept is further studied and, other derived concepts called countable, sequential, and local compactness (countable, -compactness) -spaces are also relatively. The study reveals that -compactness implies countable g-Tg-compactness, sequential property -property). Diagrams establish various relationships amongst these types presented here literature, nice application supports overall theory.