In this paper, we introduce and study a new class of sets in a bitopological space (X, s1, s2), namely, ij-w* -closed sets, which settled properly in between the class of ji-a-closed sets and the class of ij-ga-closed sets. We also introduce and study new classes of spaces, namely, ij T1=5 spaces, ij-Te spaces, ij-aTe spaces, ij-Tl spaces and ij-aTl spaces. As applications of ij-w* -closed sets, we introduce and study four new classes of spaces, namely, ij Tw 1=5 spaces, ij w T1=5 spaces (both classes contain the class of ij T1=5 spaces), ij-aTk spaces and ij-Tk spaces. The class of ij-Tk spaces is properly placed in between the class of ij-Te spaces and the class of ij-Tl spaces. It is shown that dual of the class of ij Tw 1=5 spaces to the class of ij-aTe spaces is the class of ij-aTk spaces and the dual of the class of ij w T1=5 spaces to the class of ij T1=5 spaces is the class of ij Tw 1=5 spaces and also that the dual of the class of ij-Tl spaces to the class of ij-Tk spaces is the class of ij-aTk spaces. Further we introduce and study ij-w* -continuous functions and ij-w* -irresolute functions.
Abu Donia, H., Abd Allah, M., & Nawar, A. (2015). Generalized w* -closed sets in bitopological spaces. Journal of the Egyptian Mathematical Society, 23(3), 527-534. doi: 10.1016/j.joems.2014.12.005
MLA
H.M. Abu Donia; M.A. Abd Allah; A.S. Nawar. "Generalized w* -closed sets in bitopological spaces", Journal of the Egyptian Mathematical Society, 23, 3, 2015, 527-534. doi: 10.1016/j.joems.2014.12.005
HARVARD
Abu Donia, H., Abd Allah, M., Nawar, A. (2015). 'Generalized w* -closed sets in bitopological spaces', Journal of the Egyptian Mathematical Society, 23(3), pp. 527-534. doi: 10.1016/j.joems.2014.12.005
VANCOUVER
Abu Donia, H., Abd Allah, M., Nawar, A. Generalized w* -closed sets in bitopological spaces. Journal of the Egyptian Mathematical Society, 2015; 23(3): 527-534. doi: 10.1016/j.joems.2014.12.005
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