Almost continuity on generalized topological spaces
In the background of the notions of generalized neighbourhood systems and generalized topological spaces, the notions of continuous functions and associated interior and closure operators were introduced by Á. Császár in 2002. The author introduces in the same background the notion of almost \((g,g')\)-continuity and investigates properties of such functions and relationships among \((g,g')\)-continuity, almost \((g,g')\)-continuity and weak \((g, g')\)-continuity. A necessary and sufficient condition for a function from a generalized topological space to another such space is studied with the help of some concepts introduced by the author. Necessary examples are provided.
scientific article; zbMATH DE number 5848551