Nael Tawfiq Wadi Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq , Salahaddin
A. A.Shihab Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq , Salahaddin.

Abstract The aim of this paper is to introduce a new class of sets called Nano grill generalized delta open sets in topological spaces and some of their basic properties are investigated a new class of sets lies between N-gǤ-d- (Reg, α, pre, semi, β)-open set. We obtain their characterizations, their basic properties and their relationships with other types of sets in topological spaces. Keywords N-Ǥ-Reg-open, NǤ-α-open, NǤ-semi-open, NǤ-pre-open, NǤ--open and NǤ--open sets.,