Some Applications of Supra Preopen Sets
The aim of this work is to define some concepts on supra topological spaces using supra preopen sets and investigate main properties. We started this paper by correcting some results obtained in previous study and presenting further properties of supra preopen sets. Then, we introduce a concept of s...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/9634206 |
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| author | M. E. El-Shafei A. H. Zakari T. M. Al-shami |
| author_facet | M. E. El-Shafei A. H. Zakari T. M. Al-shami |
| author_sort | M. E. El-Shafei |
| collection | DOAJ |
| description | The aim of this work is to define some concepts on supra topological spaces using supra preopen sets and investigate main properties. We started this paper by correcting some results obtained in previous study and presenting further properties of supra preopen sets. Then, we introduce a concept of supra prehomeomorphism maps and discuss its main properties. After that we explore the concepts of supra limit and supra boundary points of a set with respect to supra preopen sets and examine their behaviours on the spaces that possess the difference property. Finally, we formulate the concepts of supra pre-Ti-spaces i=0,1,2,3,4 and give completely descriptions for each one of them. In general, we study their main properties in detail and show the implications of these separation axioms among themselves as well as with STi-space with the help of some interesting examples. |
| format | Article |
| id | doaj-art-f44303a5a6b94264824270f629f76718 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f44303a5a6b94264824270f629f767182025-02-03T05:51:13ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/96342069634206Some Applications of Supra Preopen SetsM. E. El-Shafei0A. H. Zakari1T. M. Al-shami2Department of Mathematics, Mansoura University, Mansoura, EgyptDepartment of Mathematics, Jazan University, Jazan, Saudi ArabiaDepartment of Mathematics, Sana’a University, Sana’a, YemenThe aim of this work is to define some concepts on supra topological spaces using supra preopen sets and investigate main properties. We started this paper by correcting some results obtained in previous study and presenting further properties of supra preopen sets. Then, we introduce a concept of supra prehomeomorphism maps and discuss its main properties. After that we explore the concepts of supra limit and supra boundary points of a set with respect to supra preopen sets and examine their behaviours on the spaces that possess the difference property. Finally, we formulate the concepts of supra pre-Ti-spaces i=0,1,2,3,4 and give completely descriptions for each one of them. In general, we study their main properties in detail and show the implications of these separation axioms among themselves as well as with STi-space with the help of some interesting examples.http://dx.doi.org/10.1155/2020/9634206 |
| spellingShingle | M. E. El-Shafei A. H. Zakari T. M. Al-shami Some Applications of Supra Preopen Sets Journal of Mathematics |
| title | Some Applications of Supra Preopen Sets |
| title_full | Some Applications of Supra Preopen Sets |
| title_fullStr | Some Applications of Supra Preopen Sets |
| title_full_unstemmed | Some Applications of Supra Preopen Sets |
| title_short | Some Applications of Supra Preopen Sets |
| title_sort | some applications of supra preopen sets |
| url | http://dx.doi.org/10.1155/2020/9634206 |
| work_keys_str_mv | AT meelshafei someapplicationsofsuprapreopensets AT ahzakari someapplicationsofsuprapreopensets AT tmalshami someapplicationsofsuprapreopensets |