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AI InsightFinally, new decompositions of continuity are provided.
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Özet
In 2004, Al-Hawary and Al-Omari introduced and explored the class of wo-open sets which is strictly stronger than the class of w-open sets and weaker than that of open sets. In this paper, we introduce what we call wo-continuity and wXo-continuity and we give several characterizations and two decompositions of w o-continuity. Finally, new decompositions of continuity are provided.
Abstract
In 2004, Al-Hawary and Al-Omari introduced and explored the class of wo-open sets which is strictly stronger than the class of w-open sets and weaker than that of open sets. In this paper, we introduce what we call wo-continuity and wXo-continuity and we give several characterizations and two decompositions of w o-continuity. Finally, new decompositions of continuity are provided.