On certain types of sets in ideal topological spaces
In the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already there in the literature. We prove several properties of the introduced classes of sets, and finally as application, we initiate the study of a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2015-12-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/awutm-2015-0017 |
| _version_ | 1818477146719387648 |
|---|---|
| author | Mandal Dhananjoy Mukherjee M. N. |
| author_facet | Mandal Dhananjoy Mukherjee M. N. |
| author_sort | Mandal Dhananjoy |
| collection | DOAJ |
| description | In the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already there in the literature. We prove several properties of the introduced classes of sets, and finally as application, we initiate the study of a kind of separation axiom, termed
*−T12$* - T_{{1 \over 2}}$
-property. |
| first_indexed | 2024-12-10T09:34:27Z |
| format | Article |
| id | doaj.art-134cf233f148438e96e55f83967686e2 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-12-10T09:34:27Z |
| publishDate | 2015-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-134cf233f148438e96e55f83967686e22022-12-22T01:54:14ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072015-12-015329910810.1515/awutm-2015-0017awutm-2015-0017On certain types of sets in ideal topological spacesMandal Dhananjoy0Mukherjee M. N.1Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata–700019, INDIADepartment of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata–700019, INDIAIn the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already there in the literature. We prove several properties of the introduced classes of sets, and finally as application, we initiate the study of a kind of separation axiom, termed *−T12$* - T_{{1 \over 2}}$ -property.https://doi.org/10.1515/awutm-2015-0017g-closed*-g-closed∧*-setg.∧*-set*-t½-space |
| spellingShingle | Mandal Dhananjoy Mukherjee M. N. On certain types of sets in ideal topological spaces Annals of the West University of Timisoara: Mathematics and Computer Science g-closed *-g-closed ∧*-set g.∧*-set *-t½-space |
| title | On certain types of sets in ideal topological spaces |
| title_full | On certain types of sets in ideal topological spaces |
| title_fullStr | On certain types of sets in ideal topological spaces |
| title_full_unstemmed | On certain types of sets in ideal topological spaces |
| title_short | On certain types of sets in ideal topological spaces |
| title_sort | on certain types of sets in ideal topological spaces |
| topic | g-closed *-g-closed ∧*-set g.∧*-set *-t½-space |
| url | https://doi.org/10.1515/awutm-2015-0017 |
| work_keys_str_mv | AT mandaldhananjoy oncertaintypesofsetsinidealtopologicalspaces AT mukherjeemn oncertaintypesofsetsinidealtopologicalspaces |