In this paper, introduce a neutrosophicopen sets in neutrosophic topological spaces. Also, discuss about near open sets, their properties and examplesZ-open set which is union of P-open δof neutrosophicS Z-open set. Moreover, we investigate some basic examples Z-interior Z-closure

In this paper, we introduce the concepts of soft semi \( \omega \)-continuous, \(\omega \)-irresolute, and \) -irresolute functions by using \)-open sets. We characterize them discuss their main properties with help examples. investigate under what conditions restriction are respectively \)-irresolute. Also, composition two -continuous, \)-irresolute -irresolute, addition to these, examine conn...