ζ-Open Sets and ζ-Continuity
In this work, the concept of ζ-Open Set was introduced as a generalization of open set. Where it is shown that (X, ) is a Topological Space. Also, we study -Interior, -Closure, Continuity Function. At last basics Properties of them are given.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Tikrit University
2023-06-01
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| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/1431 |
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| _version_ | 1849427582994350080 |
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| author | Sabah A. Tamer Taha H. Jasim |
| author_facet | Sabah A. Tamer Taha H. Jasim |
| author_sort | Sabah A. Tamer |
| collection | DOAJ |
| description |
In this work, the concept of ζ-Open Set was introduced as a generalization of open set. Where it is shown that (X, ) is a Topological Space.
Also, we study -Interior, -Closure, Continuity Function. At last basics Properties of them are given.
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| format | Article |
| id | doaj-art-43ad64e2cf1f4b90af425b5ad4a3fc1b |
| institution | Kabale University |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-43ad64e2cf1f4b90af425b5ad4a3fc1b2025-08-20T03:28:59ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262023-06-0128310.25130/tjps.v28i3.1431ζ-Open Sets and ζ-ContinuitySabah A. TamerTaha H. Jasim In this work, the concept of ζ-Open Set was introduced as a generalization of open set. Where it is shown that (X, ) is a Topological Space. Also, we study -Interior, -Closure, Continuity Function. At last basics Properties of them are given. https://tjpsj.org/index.php/tjps/article/view/1431ζ-Open Setζ-continuous mapζ-Topological Spaceζ-Separation axioms |
| spellingShingle | Sabah A. Tamer Taha H. Jasim ζ-Open Sets and ζ-Continuity Tikrit Journal of Pure Science ζ-Open Set ζ-continuous map ζ-Topological Space ζ-Separation axioms |
| title | ζ-Open Sets and ζ-Continuity |
| title_full | ζ-Open Sets and ζ-Continuity |
| title_fullStr | ζ-Open Sets and ζ-Continuity |
| title_full_unstemmed | ζ-Open Sets and ζ-Continuity |
| title_short | ζ-Open Sets and ζ-Continuity |
| title_sort | ζ open sets and ζ continuity |
| topic | ζ-Open Set ζ-continuous map ζ-Topological Space ζ-Separation axioms |
| url | https://tjpsj.org/index.php/tjps/article/view/1431 |
| work_keys_str_mv | AT sabahatamer zopensetsandzcontinuity AT tahahjasim zopensetsandzcontinuity |