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...
Saved in:
| Main Authors: | , |
|---|---|
| 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!
|
| Summary: | 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. |
|---|---|
| ISSN: | 2314-8888 |