Some New Variants of Relative Regularity via Regularly Closed Sets
Every topological property can be associated with its relative version in such a way that when smaller space coincides with larger space, then this relative property coincides with the absolute one. This notion of relative topological properties was introduced by Arhangel’skii and Ganedi in 1989. Si...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7726577 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560120478826496 |
|---|---|
| author | Sehar Shakeel Raina A. K. Das |
| author_facet | Sehar Shakeel Raina A. K. Das |
| author_sort | Sehar Shakeel Raina |
| collection | DOAJ |
| description | Every topological property can be associated with its relative version in such a way that when smaller space coincides with larger space, then this relative property coincides with the absolute one. This notion of relative topological properties was introduced by Arhangel’skii and Ganedi in 1989. Singal and Arya introduced the concepts of almost regular spaces in 1969 and almost completely regular spaces in 1970. In this paper, we have studied various relative versions of almost regularity, complete regularity, and almost complete regularity. We investigated some of their properties and established relationships of these spaces with each other and with the existing relative properties. |
| format | Article |
| id | doaj-art-7daf56fc0e3442c59e7fbeee0156f680 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7daf56fc0e3442c59e7fbeee0156f6802025-02-03T01:28:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/77265777726577Some New Variants of Relative Regularity via Regularly Closed SetsSehar Shakeel Raina0A. K. Das1School of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, IndiaSchool of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, IndiaEvery topological property can be associated with its relative version in such a way that when smaller space coincides with larger space, then this relative property coincides with the absolute one. This notion of relative topological properties was introduced by Arhangel’skii and Ganedi in 1989. Singal and Arya introduced the concepts of almost regular spaces in 1969 and almost completely regular spaces in 1970. In this paper, we have studied various relative versions of almost regularity, complete regularity, and almost complete regularity. We investigated some of their properties and established relationships of these spaces with each other and with the existing relative properties.http://dx.doi.org/10.1155/2021/7726577 |
| spellingShingle | Sehar Shakeel Raina A. K. Das Some New Variants of Relative Regularity via Regularly Closed Sets Journal of Mathematics |
| title | Some New Variants of Relative Regularity via Regularly Closed Sets |
| title_full | Some New Variants of Relative Regularity via Regularly Closed Sets |
| title_fullStr | Some New Variants of Relative Regularity via Regularly Closed Sets |
| title_full_unstemmed | Some New Variants of Relative Regularity via Regularly Closed Sets |
| title_short | Some New Variants of Relative Regularity via Regularly Closed Sets |
| title_sort | some new variants of relative regularity via regularly closed sets |
| url | http://dx.doi.org/10.1155/2021/7726577 |
| work_keys_str_mv | AT seharshakeelraina somenewvariantsofrelativeregularityviaregularlyclosedsets AT akdas somenewvariantsofrelativeregularityviaregularlyclosedsets |