On S-cluster sets and S-closed spaces
A new type of cluster sets, called S-cluster sets, of functions and multifunctions between topological spaces is introduced, thereby providing a new technique for studying S-closed spaces. The deliberation includes an explicit expression of S-cluster set of a function. As an application, characteriz...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001277 |
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| _version_ | 1832568252212969472 |
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| author | M. N. Mukherjee Atasi Debray |
| author_facet | M. N. Mukherjee Atasi Debray |
| author_sort | M. N. Mukherjee |
| collection | DOAJ |
| description | A new type of cluster sets, called S-cluster sets, of functions
and multifunctions between topological spaces is introduced,
thereby providing a new technique for studying S-closed spaces.
The deliberation includes an explicit expression of S-cluster set
of a function. As an application, characterizations of Hausdorff
and S-closed topological spaces are achieved via such cluster
sets. |
| format | Article |
| id | doaj-art-dd8af2602f3d49ff8d66598a4c4395cc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-dd8af2602f3d49ff8d66598a4c4395cc2025-02-03T00:59:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123959760310.1155/S0161171200001277On S-cluster sets and S-closed spacesM. N. Mukherjee0Atasi Debray1Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, IndiaDepartment of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, IndiaA new type of cluster sets, called S-cluster sets, of functions and multifunctions between topological spaces is introduced, thereby providing a new technique for studying S-closed spaces. The deliberation includes an explicit expression of S-cluster set of a function. As an application, characterizations of Hausdorff and S-closed topological spaces are achieved via such cluster sets.http://dx.doi.org/10.1155/S0161171200001277S-cluster setS-closednessθs-closuresemi-open sets. |
| spellingShingle | M. N. Mukherjee Atasi Debray On S-cluster sets and S-closed spaces International Journal of Mathematics and Mathematical Sciences S-cluster set S-closedness θs-closure semi-open sets. |
| title | On S-cluster sets and S-closed spaces |
| title_full | On S-cluster sets and S-closed spaces |
| title_fullStr | On S-cluster sets and S-closed spaces |
| title_full_unstemmed | On S-cluster sets and S-closed spaces |
| title_short | On S-cluster sets and S-closed spaces |
| title_sort | on s cluster sets and s closed spaces |
| topic | S-cluster set S-closedness θs-closure semi-open sets. |
| url | http://dx.doi.org/10.1155/S0161171200001277 |
| work_keys_str_mv | AT mnmukherjee onsclustersetsandsclosedspaces AT atasidebray onsclustersetsandsclosedspaces |