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.
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