On the topological category of neutrosophic crisp sets

Abstract

In this work, we explicitly characterize local separation axioms as well as generic separation axioms in the topological category of neutrosophic crisp sets, and examine their mutual relationship. Moreover, we characterize several distinct notions of closedness, compactness and connectedness in NCSet, and study their relationship with each other.

Keywords

• Topological category
• neutrosophic crisp set
• separation
• closedness
• compactness
• connectedness

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