Abstract

 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.
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