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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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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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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