Theory of Generalized Sets in Generalized Topological Spaces

Several specific types of generalized sets (briefly, g-T_g-sets in topological spaces T_g-spaces have been defined and investigated for various purposes from time to the literature T_g-spaces. Our recent research field a new class is reported herein as starting point more classes. It shown that superclass those whose elements are called open, closed, semi-open, semi-closed, pre-open, pre-closed, semi-pre-open, semi-pre-closed T_g-space. A subclass T_g-subspace corresponds Cartesian product these finite number classes g-T_g-sets, each which belongs Diagrams establish relationships amongst presented here literature, an ad hoc application supports overall theory.