“…Among the most fundamental topological properties (briefly, T -properties relative to ordinary topology, and T g -properties relative to generalized topology), the T -properties 1 , termed T-compactness and g-T-compactness in T -spaces (ordinary and generalized compactness in ordinary topological spaces) and the T g -properties termed T g -compactness and g-T g -compactness in T g -spaces (ordinary and generalized compactness in generalized topological spaces) are verily the most important invariant properties [3,4,5,7,15,16,17,20,21,22,23,25,28,29,30,31,32,33,34,35,36]. In actual truth, T-compactness is an absolute property of a T-set [2,13,38,33], and g-T-compactness, T g -compactness and g-T g -compactness, respectively, are absolute properties of a g-T-set, a T g -set, and a g-T g -set [18,25,29].…”