Abstract:
In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak
open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes of
weak open sets namely Kasaj-pre-open sets and Kasaj-semi-open sets in Kasaj topological spaces and analyze
their basic properties. We shall also define new types of continuous functions namely Kasaj-continuous function,
Kasaj-pre-continuous function, Kasaj-semi-continuous function in Kasaj topological space.