Neutrosophic topological structure can be applied in many fields, viz. physics, chemistry, data science, etc., but it is difficult to apply the object with periodicity.

Neutrosophic α supra-connected space is defined and its properties are studied in this paper. The purpose of this theory is to investigate the common relationship between two objects after dropping an axiom in neutrosophic topological spaces. Also, defined herein is a new compactness in neutrosophic supra topological spaces and some of its properties are investigated.

In this study, we introduce the concept of neutrosophic connectedness and give some of its characterizations. Additionally, we present neutrosophic product space and show that this type of connectedness is not preserved under neutrosophic product spaces. We also introduce the notions of neutrosophic super-connected spaces, neutrosophic strongly connected spaces and study their properties.

This paper committed to the investigation of Neutrosophic topological spaces. In this paper Generalized Alpha Closed Sets and Generalized Alpha Open Sets are presented. Some of its properties are contemplated.

In this paper, the concept of N-open set in neutrosophic complex topological space is introduced. Some of the interesting properties of neutrosophic complex N-open sets are studied. The idea of neutrosophic complex N-continuous function and its characterization are discussed. Also the interrelation among the sets and continuity are established.

In this article, we introduce neutrosophic closed sets in neutrosophic topological spaces. Also, we introduce and investigate neutrosophic continuous, neutrosophic irresoluteness, neutrosophic connectedness and neutrosophic contra continuous mappings .

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.