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.
\omega^o-open, \omega^o-continuity, Continuity
AL-HAWARY, TALAL and AL-OMARI, AHMAD (2006) "Decompositions of Continuity," Turkish Journal of Mathematics: Vol. 30: No. 2, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol30/iss2/5