Continuity on generalized topological spaces via hereditary classes

Abstract

A generalized topology is a collection of subsets of a given nonempty set containing the empty set and arbitrary unions of the elements in this collection. By using a concept of hereditary classes, a generalized topology can be extended to the new one, called a generalized topology via a hereditary class. In this thesis, we study on continuity on generalized topological spaces via hereditary classes. The continuity can be described in various situations.