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...

Full description

Saved in:
Bibliographic Details
Main Authors: Muhammad Qasim, Ch. Muhammad Afaq Aslam
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/1117881
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832558320520527872
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
work_keys_str_mv AT muhammadqasim anoteonquotientreflectivesubcategoriesoforel
AT chmuhammadafaqaslam anoteonquotientreflectivesubcategoriesoforel
AT muhammadqasim noteonquotientreflectivesubcategoriesoforel
AT chmuhammadafaqaslam noteonquotientreflectivesubcategoriesoforel