Baire space in neutrosophic 𝛍-topological spaces
In this article, we introduce and discuss the concepts of neutrosophic µ-dense, neutrosophic µ-nowhere dense, and neutrosophic µ-first category sets. We also define and characterize the concept of neutrosophic µ-baire space. Moreover, we investigate neutrosophic (µ, η)-continuity and neutrosophic (µ...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-06-01
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| Series: | Journal of Fuzzy Extension and Applications |
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| Online Access: | https://www.journal-fea.com/article_195462_d8f551da804f8152902d75de0999aa09.pdf |
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| author | Nirmal Sarkar Ashoke Das Towhid Aman |
| author_facet | Nirmal Sarkar Ashoke Das Towhid Aman |
| author_sort | Nirmal Sarkar |
| collection | DOAJ |
| description | In this article, we introduce and discuss the concepts of neutrosophic µ-dense, neutrosophic µ-nowhere dense, and neutrosophic µ-first category sets. We also define and characterize the concept of neutrosophic µ-baire space. Moreover, we investigate neutrosophic (µ, η)-continuity and neutrosophic (µ, η)-open functions and establish some results on the preservation of neutrosophic µ-baire space under such functions. |
| format | Article |
| id | doaj-art-b3e6f1e4b414464d81420b0b8842a361 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-b3e6f1e4b414464d81420b0b8842a3612025-01-30T15:07:06ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-06-015228829910.22105/jfea.2024.436483.1374195462Baire space in neutrosophic 𝛍-topological spacesNirmal Sarkar0Ashoke Das1Towhid Aman2Department of Mathematics, Raiganj University, 733134, Raiganj, India.Department of Mathematics, Raiganj University, 733134, Raiganj, India.Department of Mathematics, Gangarampur College, 733124, Gangarampur, India.In this article, we introduce and discuss the concepts of neutrosophic µ-dense, neutrosophic µ-nowhere dense, and neutrosophic µ-first category sets. We also define and characterize the concept of neutrosophic µ-baire space. Moreover, we investigate neutrosophic (µ, η)-continuity and neutrosophic (µ, η)-open functions and establish some results on the preservation of neutrosophic µ-baire space under such functions.https://www.journal-fea.com/article_195462_d8f551da804f8152902d75de0999aa09.pdfneutrosophic 𝜇-denseneutrosophic 𝜇-nowhere denseneutrosophic 𝜇-first categoryneutrosophic 𝜇-baire space |
| spellingShingle | Nirmal Sarkar Ashoke Das Towhid Aman Baire space in neutrosophic 𝛍-topological spaces Journal of Fuzzy Extension and Applications neutrosophic 𝜇-dense neutrosophic 𝜇-nowhere dense neutrosophic 𝜇-first category neutrosophic 𝜇-baire space |
| title | Baire space in neutrosophic 𝛍-topological spaces |
| title_full | Baire space in neutrosophic 𝛍-topological spaces |
| title_fullStr | Baire space in neutrosophic 𝛍-topological spaces |
| title_full_unstemmed | Baire space in neutrosophic 𝛍-topological spaces |
| title_short | Baire space in neutrosophic 𝛍-topological spaces |
| title_sort | baire space in neutrosophic 𝛍 topological spaces |
| topic | neutrosophic 𝜇-dense neutrosophic 𝜇-nowhere dense neutrosophic 𝜇-first category neutrosophic 𝜇-baire space |
| url | https://www.journal-fea.com/article_195462_d8f551da804f8152902d75de0999aa09.pdf |
| work_keys_str_mv | AT nirmalsarkar bairespaceinneutrosophicμtopologicalspaces AT ashokedas bairespaceinneutrosophicμtopologicalspaces AT towhidaman bairespaceinneutrosophicμtopologicalspaces |