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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| Veröffentlicht in: | Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.377-385-421 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2012/548612 |