One point compactification for generalized quotient spaces
The concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature. Their topological structure, notions of convergence in these space sare also investigated. Some sufficient c...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2010-04-01
|
| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1725 |
| _version_ | 1818204516827267072 |
|---|---|
| author | V. Karunakaran C. Ganesan |
| author_facet | V. Karunakaran C. Ganesan |
| author_sort | V. Karunakaran |
| collection | DOAJ |
| description | The concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature. Their topological structure, notions of convergence in these space sare also investigated. Some sufficient conditions for the metrizability are also obtained. In this paper we shall assume that a generalized quotient space is non-compact and realize its one point compactification as a quotient space. |
| first_indexed | 2024-12-12T03:42:29Z |
| format | Article |
| id | doaj.art-0ad6a24279ac4ac39859ea6b6877eb75 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-12T03:42:29Z |
| publishDate | 2010-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-0ad6a24279ac4ac39859ea6b6877eb752022-12-22T00:39:39ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472010-04-01111212710.4995/agt.2010.17251413One point compactification for generalized quotient spacesV. Karunakaran0C. Ganesan1Madurai Kamaraj UniversityMadurai Kamaraj UniversityThe concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature. Their topological structure, notions of convergence in these space sare also investigated. Some sufficient conditions for the metrizability are also obtained. In this paper we shall assume that a generalized quotient space is non-compact and realize its one point compactification as a quotient space.http://polipapers.upv.es/index.php/AGT/article/view/1725Generalized quotient spaceCompactLocally compact and HausdorffOne point compactification. |
| spellingShingle | V. Karunakaran C. Ganesan One point compactification for generalized quotient spaces Applied General Topology Generalized quotient space Compact Locally compact and Hausdorff One point compactification. |
| title | One point compactification for generalized quotient spaces |
| title_full | One point compactification for generalized quotient spaces |
| title_fullStr | One point compactification for generalized quotient spaces |
| title_full_unstemmed | One point compactification for generalized quotient spaces |
| title_short | One point compactification for generalized quotient spaces |
| title_sort | one point compactification for generalized quotient spaces |
| topic | Generalized quotient space Compact Locally compact and Hausdorff One point compactification. |
| url | http://polipapers.upv.es/index.php/AGT/article/view/1725 |
| work_keys_str_mv | AT vkarunakaran onepointcompactificationforgeneralizedquotientspaces AT cganesan onepointcompactificationforgeneralizedquotientspaces |