1
Department of Mathematics, Science College, Kokrajhar, Assam, India; Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, India
(sudeep.dey.1976@gmail.com)
2
Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, India
(gautomofcit@gmail.com)
Abstract :
The purpose of this article is to study some covering properties in neutrosophic topological spaces via neutrosophic pre-open sets. We define neutrosophic pre-open cover, neutrosophic pre-compactness, neutrosophic countably pre-compactness and neutrosophic pre-Lindel¨ofness and study various properties connecting them. We study some properties involving neutrosophic continuous and neutrosophic pre-continuous functions. We also define neutrosophic pre-base, neutrosophic pre-subbase, neutrosophic pre∗-open function, neutrosophic pre-irresolute function and study some properties. In addition to that, we define and study neutrosophic local pre-compactness.
Keywords :
Neutrosophic pre-compact space; Neutrosophic countably pre-compact space; Neutrosophic pre- Lindelof space; Neutrosophic Np-base; Neutrosophic Np-subbase; Neutrosophic pre-irresolute function; Neutrosophic local pre-compact space.
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| Style | # |
|---|---|
| MLA | Sudeep Dey, Gautam Chandra Ray. "Neutrosophic Pre-compactness." International Journal of Neutrosophic Science, Vol. 21, No. 1, 2023 ,PP. 105-120 (Doi : https://doi.org/10.54216/IJNS.210110) |
| APA | Sudeep Dey, Gautam Chandra Ray. (2023). Neutrosophic Pre-compactness. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 105-120 (Doi : https://doi.org/10.54216/IJNS.210110) |
| Chicago | Sudeep Dey, Gautam Chandra Ray. "Neutrosophic Pre-compactness." Journal of International Journal of Neutrosophic Science, 21 no. 1 (2023): 105-120 (Doi : https://doi.org/10.54216/IJNS.210110) |
| Harvard | Sudeep Dey, Gautam Chandra Ray. (2023). Neutrosophic Pre-compactness. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 105-120 (Doi : https://doi.org/10.54216/IJNS.210110) |
| Vancouver | Sudeep Dey, Gautam Chandra Ray. Neutrosophic Pre-compactness. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 1 ): 105-120 (Doi : https://doi.org/10.54216/IJNS.210110) |
| IEEE | Sudeep Dey, Gautam Chandra Ray, Neutrosophic Pre-compactness, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 1 , (2023) : 105-120 (Doi : https://doi.org/10.54216/IJNS.210110) |