A Note on Quotient Reflective Subcategories of O-REL
In this paper, we examine the category of ordered-RELspaces. We show that it is a normalized and geometric topological category and give the characterization of local T¯0, local T0′, and local T1 ordered-RELspaces. Furthermore, we characterize explicitly several notions of T0’s and T1 objects in O-R...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1117881 |
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| _version_ | 1832558320520527872 |
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| author | Muhammad Qasim Ch. Muhammad Afaq Aslam |
| author_facet | Muhammad Qasim Ch. Muhammad Afaq Aslam |
| author_sort | Muhammad Qasim |
| collection | DOAJ |
| description | In this paper, we examine the category of ordered-RELspaces. We show that it is a normalized and geometric topological category and give the characterization of local T¯0, local T0′, and local T1 ordered-RELspaces. Furthermore, we characterize explicitly several notions of T0’s and T1 objects in O-REL and study their mutual relationship. Finally, it is shown that the category of T0’s (resp. T1) ordered-RELspaces are quotient reflective subcategories of O-REL. |
| format | Article |
| id | doaj-art-63facad9a78a4aedb47d227c9915952c |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-63facad9a78a4aedb47d227c9915952c2025-02-03T01:32:35ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1117881A Note on Quotient Reflective Subcategories of O-RELMuhammad Qasim0Ch. Muhammad Afaq Aslam1Department of MathematicsDepartment of MathematicsIn this paper, we examine the category of ordered-RELspaces. We show that it is a normalized and geometric topological category and give the characterization of local T¯0, local T0′, and local T1 ordered-RELspaces. Furthermore, we characterize explicitly several notions of T0’s and T1 objects in O-REL and study their mutual relationship. Finally, it is shown that the category of T0’s (resp. T1) ordered-RELspaces are quotient reflective subcategories of O-REL.http://dx.doi.org/10.1155/2022/1117881 |
| spellingShingle | Muhammad Qasim Ch. Muhammad Afaq Aslam A Note on Quotient Reflective Subcategories of O-REL Journal of Function Spaces |
| title | A Note on Quotient Reflective Subcategories of O-REL |
| title_full | A Note on Quotient Reflective Subcategories of O-REL |
| title_fullStr | A Note on Quotient Reflective Subcategories of O-REL |
| title_full_unstemmed | A Note on Quotient Reflective Subcategories of O-REL |
| title_short | A Note on Quotient Reflective Subcategories of O-REL |
| title_sort | note on quotient reflective subcategories of o rel |
| url | http://dx.doi.org/10.1155/2022/1117881 |
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