On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

Wadei Al-Omeri and Saeid Jafari
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Wadei Al-Omeri: Department of Mathematics, Al-Balqa Applied University, Salt 19117, Jordan
Saeid Jafari: Department of Mathematics, College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark

Mathematics, 2018, vol. 7, issue 1, 1-12

Abstract: In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed sets, namely neutrosophic p T 1 2 space and neutrosophic g p T 1 2 space. The concepts of generalized neutrosophic connected spaces, generalized neutrosophic compact spaces and generalized neutrosophic extremally disconnected spaces are established. Some interesting properties are investigated in addition to giving some examples.

Keywords: neutrosophic topology; neutrosophic generalized topology; neutrosophic generalized pre-closed sets; neutrosophic generalized pre-open sets; neutrosophic p T 1 2 space; neutrosophic g p T 1 2 space; generalized neutrosophic compact and generalized neutrosophic compact (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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