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Decompositions Of Continuity, Talal Al-Hawary, Ahmad Al-Omari
Decompositions Of Continuity, Talal Al-Hawary, Ahmad Al-Omari
Turkish Journal of Mathematics
In 2004, Al-Hawary and Al-Omari introduced and explored the class of \omega^o-open sets which is strictly stronger than the class of \omega-open sets and weaker than that of open sets. In this paper, we introduce what we call \omega^o-continuity and \omega_X^o-continuity and we give several characterizations and two decompositions of \omega ^o-continuity. Finally, new decompositions of continuity are provided.