Decompositions of Continuity via Ζ−open Sets
نویسنده
چکیده
Al-Hawary [1] introduced and explored the class of ζ−open sets which is strictly weaker than open and proved that the collection of all ζ−open subsets of a space forms a topology that is finer than the original one. In this paper, we introduce what we call ζ−continuity and ζX−continuity and we give several characterizations and two decompositions of ζ−continuity. Finally, new decompositions of continuity are provided. 2000 Mathematics Subject Classification: 54C08, 54C05, 54C10.
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