Abstract

In this article, we study a new types of mappings using $ N $-neutrosophic crisp $ \beta $ open sets such as continuous mappings and irresolute mappings in $ N $-neutrosophic crisp topological spaces were introduced. Also, we discussed about their properties in relation with the other continuous and irresolute mappings in $ N $-neutrosophic crisp topological spaces. Also, we study about the concept of strongly $ N $-neutrosophic crisp $ \beta $ continuous and perfectly $ N $-neutrosophic crisp $ \beta $ continuous functions in $ N_{nc} $ topological spaces with their properties.

Keywords and Phrases

$ N_{nc} \beta $-open sets, $ N_{nc} \beta $-closed sets, $ N_{nc} \beta Cts $, $ N_{nc} \beta Irr $, $ StN_{nc} \beta Cts $, $ PeN_{nc} \beta Cts $.

A.M.S. subject classification

54A05, 54A10, 54C08.

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