New operator via strong form of nano open sets. (English) Zbl 1489.54003
Summary: 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.
MSC:
| 54A05 | Topological spaces and generalizations (closure spaces, etc.) |
| 54C20 | Extension of maps |
| 54D10 | Lower separation axioms (\(T_0\)–\(T_3\), etc.) |
Keywords:
\(N \gamma_b\)-open set; \(N \gamma_b-Cl\); \(N \gamma_b\)-g-closed set; \(N \gamma_b\)-T \(_{1 /2}\) spaceReferences:
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