Generalized w* -closed sets in bitopological spaces
Abu Donia, H., Abd Allah, M., Nawar, A. (2015). Generalized w* -closed sets in bitopological spaces. EKB Journal Management System, 23(3), 527-534. doi: 10.1016/j.joems.2014.12.005
H.M. Abu Donia; M.A. Abd Allah; A.S. Nawar. "Generalized w* -closed sets in bitopological spaces". EKB Journal Management System, 23, 3, 2015, 527-534. doi: 10.1016/j.joems.2014.12.005
Abu Donia, H., Abd Allah, M., Nawar, A. (2015). 'Generalized w* -closed sets in bitopological spaces', EKB Journal Management System, 23(3), pp. 527-534. doi: 10.1016/j.joems.2014.12.005
Abu Donia, H., Abd Allah, M., Nawar, A. Generalized w* -closed sets in bitopological spaces. EKB Journal Management System, 2015; 23(3): 527-534. doi: 10.1016/j.joems.2014.12.005

Generalized w* -closed sets in bitopological spaces

Journal of the Egyptian Mathematical Society
Volume 23, Issue 3, 2015, Page 527-534  XML PDF (594.57 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.12.005
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Authors
H.M. Abu Donia* 1; M.A. Abd Allah2; A.S. Nawar2
1Department of Mathematics, Faculty of Science, Zagazig University, Egypt
2Department of Mathematics, Faculty of Science, Minoufia University, Egypt
Abstract
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.
Keywords
KEYWORDS ij-w* -closed sets; ij-w* -continuous functions; ij T1=5 spaces; ij T w 1=5 spaces; ij w T1=5 spaces
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