Cocompact Open Sets and Continuity
Compact subsets of a topological space are used to define coc-open sets as new generalized open sets, and then coc-open sets are used to define (coc)∗-open sets as another type of generalized open sets. Several results and examples related to them are obtained; particularly a decomposition of open s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/548612 |
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| _version_ | 1832552568029446144 |
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| author | Samer Al Ghour Salti Samarah |
| author_facet | Samer Al Ghour Salti Samarah |
| author_sort | Samer Al Ghour |
| collection | DOAJ |
| description | Compact subsets of a topological space are used to define coc-open sets as new generalized open sets, and then coc-open sets are used to define (coc)∗-open sets as another type of generalized open sets. Several results and examples related to them are obtained; particularly a decomposition of open sets is given. Also, coc-open sets and (coc)∗-open sets are used to introduce coc-continuity and (coc)∗-continuity, respectively. As a main result, a decomposition theorem of continuity is obtained. |
| format | Article |
| id | doaj-art-617df9d3159e40718e67cfda5bf35320 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-617df9d3159e40718e67cfda5bf353202025-02-03T05:58:17ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/548612548612Cocompact Open Sets and ContinuitySamer Al Ghour0Salti Samarah1Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanCompact subsets of a topological space are used to define coc-open sets as new generalized open sets, and then coc-open sets are used to define (coc)∗-open sets as another type of generalized open sets. Several results and examples related to them are obtained; particularly a decomposition of open sets is given. Also, coc-open sets and (coc)∗-open sets are used to introduce coc-continuity and (coc)∗-continuity, respectively. As a main result, a decomposition theorem of continuity is obtained.http://dx.doi.org/10.1155/2012/548612 |
| spellingShingle | Samer Al Ghour Salti Samarah Cocompact Open Sets and Continuity Abstract and Applied Analysis |
| title | Cocompact Open Sets and Continuity |
| title_full | Cocompact Open Sets and Continuity |
| title_fullStr | Cocompact Open Sets and Continuity |
| title_full_unstemmed | Cocompact Open Sets and Continuity |
| title_short | Cocompact Open Sets and Continuity |
| title_sort | cocompact open sets and continuity |
| url | http://dx.doi.org/10.1155/2012/548612 |
| work_keys_str_mv | AT sameralghour cocompactopensetsandcontinuity AT saltisamarah cocompactopensetsandcontinuity |