Abstract

The aim of this paper is to introduce an operator $\gamma$, a function from N-BO(U) $\rightarrow$ P(U) in nano topological space (U,$\tau_R$(X)). Here we have also characterised various properties based on the operation $\gamma$. Moreover we have made an attempt to develop some new spaces through N$\gamma_{b}$ open sets in nano topological space and finally we have also examined the relationship among them.

Keywords and Phrases

N$\gamma$$_{b}$-open set,~ N$\gamma_{b}$-Cl, ~N$\gamma_{b}$-g-closed set,~ N$\gamma_{b}$-T $_{1 /2}$ space.

A.M.S. subject classification

54A05, 54C20, 54D10.

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