Micro $\alpha g $-irresolute Maps in Micro Topological Spaces
In this paper, we initiate a stronger form of Micro $\alpha g$-continuous maps called Micro $\alpha g$-irresolute maps and study some of their properties. Also, we introduce Micro $\alpha g$-closed maps and obtain their properties. Further, we derive some composition of maps using newly defined maps...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2025-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_718217_63385e55558f6a5b932cd1751c246cc4.pdf |
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| _version_ | 1823859301556420608 |
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| author | Rangasamy Anandhi Nataraj Balamani |
| author_facet | Rangasamy Anandhi Nataraj Balamani |
| author_sort | Rangasamy Anandhi |
| collection | DOAJ |
| description | In this paper, we initiate a stronger form of Micro $\alpha g$-continuous maps called Micro $\alpha g$-irresolute maps and study some of their properties. Also, we introduce Micro $\alpha g$-closed maps and obtain their properties. Further, we derive some composition of maps using newly defined maps. In addition to this, we develop a new class of homeomorphism called Micro $\alpha g$-homeomorphism and Micro $\alpha gc$-homeomorphism and discuss some of their properties. |
| format | Article |
| id | doaj-art-188d168c79e34e818254f4fdf27c0519 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-188d168c79e34e818254f4fdf27c05192025-02-11T05:28:01ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-01221759210.22130/scma.2024.2017088.1552718217Micro $\alpha g $-irresolute Maps in Micro Topological SpacesRangasamy Anandhi0Nataraj Balamani1Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India.Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India.In this paper, we initiate a stronger form of Micro $\alpha g$-continuous maps called Micro $\alpha g$-irresolute maps and study some of their properties. Also, we introduce Micro $\alpha g$-closed maps and obtain their properties. Further, we derive some composition of maps using newly defined maps. In addition to this, we develop a new class of homeomorphism called Micro $\alpha g$-homeomorphism and Micro $\alpha gc$-homeomorphism and discuss some of their properties.https://scma.maragheh.ac.ir/article_718217_63385e55558f6a5b932cd1751c246cc4.pdfmicro topological spacesmicro continuous mapsmicro αg-continuous mapsmicro αg-irresolute mapsmicro α-closed mapmicro αg-open mapmicro αg-homeomorphismmicro αgc-homeomorphism |
| spellingShingle | Rangasamy Anandhi Nataraj Balamani Micro $\alpha g $-irresolute Maps in Micro Topological Spaces Sahand Communications in Mathematical Analysis micro topological spaces micro continuous maps micro αg-continuous maps micro αg-irresolute maps micro α-closed map micro αg-open map micro αg-homeomorphism micro αgc-homeomorphism |
| title | Micro $\alpha g $-irresolute Maps in Micro Topological Spaces |
| title_full | Micro $\alpha g $-irresolute Maps in Micro Topological Spaces |
| title_fullStr | Micro $\alpha g $-irresolute Maps in Micro Topological Spaces |
| title_full_unstemmed | Micro $\alpha g $-irresolute Maps in Micro Topological Spaces |
| title_short | Micro $\alpha g $-irresolute Maps in Micro Topological Spaces |
| title_sort | micro alpha g irresolute maps in micro topological spaces |
| topic | micro topological spaces micro continuous maps micro αg-continuous maps micro αg-irresolute maps micro α-closed map micro αg-open map micro αg-homeomorphism micro αgc-homeomorphism |
| url | https://scma.maragheh.ac.ir/article_718217_63385e55558f6a5b932cd1751c246cc4.pdf |
| work_keys_str_mv | AT rangasamyanandhi microalphagirresolutemapsinmicrotopologicalspaces AT natarajbalamani microalphagirresolutemapsinmicrotopologicalspaces |