ii- Open Set in Bitopological Spaces
<strong> </strong>In this paper, we define <em>ii</em>-open set in bitopological space as follows: Let <em>(</em> <em>, </em> <em> , </em> <em>) </em>be a bitopological space, a subset <em>A</em> of <strong>...
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| Language: | English |
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Mosul University
2020-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_167336_038cf68f299f11f1aafc4b080d2747cc.pdf |
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| author | Beyda Abdullah Amir Mohammed |
| author_facet | Beyda Abdullah Amir Mohammed |
| author_sort | Beyda Abdullah |
| collection | DOAJ |
| description | <strong> </strong>In this paper, we define <em>ii</em>-open set in bitopological space as follows: Let <em>(</em> <em>, </em> <em> , </em> <em>) </em>be a bitopological space, a subset <em>A</em> of <strong> </strong>is said to be ( <em>– ii-</em> open set ) if there exist <em>U,V ≠</em> and <em>U,V </em> <em> </em>such that:
<em>A=int<sup>1</sup>(U) or A=int<sup>2</sup> (V) </em>
<em>A</em> <em> or A</em>
We study some characterizations and properties of this class. Also, we explain the relation between <em>ii</em>- open sets and open sets, <em>i</em>-open sets and <em>α</em>-open sets in bitopological space. Furthermore, we define<em> ii-</em> continuous mapping on bitopological spaces with some properties. |
| format | Article |
| id | doaj-art-8e94871dd368423e89ec7039a5959c8d |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-8e94871dd368423e89ec7039a5959c8d2025-08-20T02:28:00ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902020-12-01142333910.33899/csmj.2020.167336167336ii- Open Set in Bitopological SpacesBeyda Abdullah0Amir Mohammed1Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Mosul, Iraq.Department of Mathematics College of Education University of Mosul, Mosul, Iraq<strong> </strong>In this paper, we define <em>ii</em>-open set in bitopological space as follows: Let <em>(</em> <em>, </em> <em> , </em> <em>) </em>be a bitopological space, a subset <em>A</em> of <strong> </strong>is said to be ( <em>– ii-</em> open set ) if there exist <em>U,V ≠</em> and <em>U,V </em> <em> </em>such that: <em>A=int<sup>1</sup>(U) or A=int<sup>2</sup> (V) </em> <em>A</em> <em> or A</em> We study some characterizations and properties of this class. Also, we explain the relation between <em>ii</em>- open sets and open sets, <em>i</em>-open sets and <em>α</em>-open sets in bitopological space. Furthermore, we define<em> ii-</em> continuous mapping on bitopological spaces with some properties.https://csmj.mosuljournals.com/article_167336_038cf68f299f11f1aafc4b080d2747cc.pdfα- open seti- open setii- open setbitopological space |
| spellingShingle | Beyda Abdullah Amir Mohammed ii- Open Set in Bitopological Spaces Al-Rafidain Journal of Computer Sciences and Mathematics α- open set i- open set ii- open set bitopological space |
| title | ii- Open Set in Bitopological Spaces |
| title_full | ii- Open Set in Bitopological Spaces |
| title_fullStr | ii- Open Set in Bitopological Spaces |
| title_full_unstemmed | ii- Open Set in Bitopological Spaces |
| title_short | ii- Open Set in Bitopological Spaces |
| title_sort | ii open set in bitopological spaces |
| topic | α- open set i- open set ii- open set bitopological space |
| url | https://csmj.mosuljournals.com/article_167336_038cf68f299f11f1aafc4b080d2747cc.pdf |
| work_keys_str_mv | AT beydaabdullah iiopensetinbitopologicalspaces AT amirmohammed iiopensetinbitopologicalspaces |