KC-bitopological spaces
A topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces". We examined the prop...
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AIMS Press
2024-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241545?viewType=HTML |
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| author | Hamza Qoqazeh Ali Atoom Maryam Alholi Eman ALmuhur Eman Hussein Anas Owledat Abeer Al-Nana |
| author_facet | Hamza Qoqazeh Ali Atoom Maryam Alholi Eman ALmuhur Eman Hussein Anas Owledat Abeer Al-Nana |
| author_sort | Hamza Qoqazeh |
| collection | DOAJ |
| description | A topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces". We examined the properties of these concepts and showed the relationships between these concepts and other bitopological spaces. We also discussed the effect of some types of functions on $ KC $-bitopological spaces and pairwise $ KC $-topological spaces. Several examples are discussed, and many well-known theories are generalized. |
| format | Article |
| id | doaj-art-12f009173cfe4e369493408765b490c7 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-12f009173cfe4e369493408765b490c72025-08-20T02:22:45ZengAIMS PressAIMS Mathematics2473-69882024-11-01911321823219910.3934/math.20241545KC-bitopological spacesHamza Qoqazeh 0Ali Atoom 1Maryam Alholi2Eman ALmuhur 3Eman Hussein4Anas Owledat5Abeer Al-Nana 61. Faculty of Science and Information Technology, Department of Mathematics, Irbid National University, Irbid, Jordan2. Faculty of Science, Department of Mathematics, Ajloun National University, Ajloun, Jordan3. Faculty of Applied, Taibah University, Al Ula, Saudi Arabia4. Faculty of Arts and Science, Department of Mathematics, Applied Science Private University, Amman, Jordan5. Faculty of Arts and Science, Department of Mathematics, Amman Arab University, Amman, Jordan6. Ministry of Education, Amman, Jordan7. Faculty of Science, Department of Mathematics, Prince Sattam Bin Abdulaziz University, Alkharj, Saudi ArabiaA topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces". We examined the properties of these concepts and showed the relationships between these concepts and other bitopological spaces. We also discussed the effect of some types of functions on $ KC $-bitopological spaces and pairwise $ KC $-topological spaces. Several examples are discussed, and many well-known theories are generalized.https://www.aimspress.com/article/doi/10.3934/math.20241545?viewType=HTMLbitopological space$ kc $-spaces$ p $-$ kc $-spaces$ k $-functioncompact function$ p $-hausdorff$ p $-compact |
| spellingShingle | Hamza Qoqazeh Ali Atoom Maryam Alholi Eman ALmuhur Eman Hussein Anas Owledat Abeer Al-Nana KC-bitopological spaces AIMS Mathematics bitopological space $ kc $-spaces $ p $-$ kc $-spaces $ k $-function compact function $ p $-hausdorff $ p $-compact |
| title | KC-bitopological spaces |
| title_full | KC-bitopological spaces |
| title_fullStr | KC-bitopological spaces |
| title_full_unstemmed | KC-bitopological spaces |
| title_short | KC-bitopological spaces |
| title_sort | kc bitopological spaces |
| topic | bitopological space $ kc $-spaces $ p $-$ kc $-spaces $ k $-function compact function $ p $-hausdorff $ p $-compact |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241545?viewType=HTML |
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