Compactness and Neutrosophic Topological Space via Grills

The aim of this paper is to introduce the concept of various types of compactness in neutrosophic topological space via grills. We shall generalize neutrosophic C - compact space and neutrosophic G - compact space and introduce C(G) - compact space in neutrosophic topological space with respect to grills. We shall call it as neutrosophic C - compact with respect to grills and term it as neutrosophic C(G) - compact space. We shall also investigate some of its basic properties and characterization theorems. We shall also study the neutrosophic quasi - H - closed space with respect to a grill.