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Neutrosophic Sets and Systems

Abstract

In the present script, we explain the neutrosophic -continuous function in the neutrosophic topological spaces. We analyze their behaviour; study the various relations and properties existing among them. Further we like to extend the study to neutrosophic neutrosophic -open function, - irresolute functions and neutrosophic -closed function, - homeomorphism in the neutrosophic topological spaces. The relationship among them can be studied in detail. The neutrosophic neutrosophic -continuous function, neutrosophic -limit point, neutrosophic -open(closed) function, -derived set and neutrosophic -neighbourhood point are explained and utilized to obtain various remarkable properties. They are explored through the specified examples.

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