On a Class of Sets Via Grill : A Decomposition of Continuity
In the present article, a class of sets, called Ϟ-semiclosed sets, which is a subclass of the class of semi-closed sets of Levine [7], is introduced and studied in a grill topological space (X, τ, Ϟ), where Ϟ is a grill on X. Two types of functions are then introduced which ultimately lead us to ach...
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| Format: | Article |
| Language: | English |
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Sciendo
2012-05-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/v10309-012-0020-9 |
| _version_ | 1828309010531483648 |
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| author | Mandal Dhananjoy Mukherjee M. N. |
| author_facet | Mandal Dhananjoy Mukherjee M. N. |
| author_sort | Mandal Dhananjoy |
| collection | DOAJ |
| description | In the present article, a class of sets, called Ϟ-semiclosed sets, which is a subclass of the class of semi-closed sets of Levine [7], is introduced and studied in a grill topological space (X, τ, Ϟ), where Ϟ is a grill on X. Two types of functions are then introduced which ultimately lead us to achieve a new decomposition of a continuous function |
| first_indexed | 2024-04-13T15:22:19Z |
| format | Article |
| id | doaj.art-787c22589a954b8ab146b84926673575 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-13T15:22:19Z |
| publishDate | 2012-05-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-787c22589a954b8ab146b849266735752022-12-22T02:41:37ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-05-0120130731610.2478/v10309-012-0020-9On a Class of Sets Via Grill : A Decomposition of ContinuityMandal Dhananjoy0Mukherjee M. N.1Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata- 700 019, IndiaDepartment of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata- 700 019, IndiaIn the present article, a class of sets, called Ϟ-semiclosed sets, which is a subclass of the class of semi-closed sets of Levine [7], is introduced and studied in a grill topological space (X, τ, Ϟ), where Ϟ is a grill on X. Two types of functions are then introduced which ultimately lead us to achieve a new decomposition of a continuous functionhttps://doi.org/10.2478/v10309-012-0020-9grillsemi-open setϟ-semiopen setϟ-semicontinuityϟs-setϟs-continuity |
| spellingShingle | Mandal Dhananjoy Mukherjee M. N. On a Class of Sets Via Grill : A Decomposition of Continuity Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica grill semi-open set ϟ-semiopen set ϟ-semicontinuity ϟs-set ϟs-continuity |
| title | On a Class of Sets Via Grill : A Decomposition of Continuity |
| title_full | On a Class of Sets Via Grill : A Decomposition of Continuity |
| title_fullStr | On a Class of Sets Via Grill : A Decomposition of Continuity |
| title_full_unstemmed | On a Class of Sets Via Grill : A Decomposition of Continuity |
| title_short | On a Class of Sets Via Grill : A Decomposition of Continuity |
| title_sort | on a class of sets via grill a decomposition of continuity |
| topic | grill semi-open set ϟ-semiopen set ϟ-semicontinuity ϟs-set ϟs-continuity |
| url | https://doi.org/10.2478/v10309-012-0020-9 |
| work_keys_str_mv | AT mandaldhananjoy onaclassofsetsviagrilladecompositionofcontinuity AT mukherjeemn onaclassofsetsviagrilladecompositionofcontinuity |