Omega open sets in generalized topological spaces


Authors

Samer Al Ghour - Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan. Wafa Zareer - Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan.


Abstract

We extend the notion of omega open set in ordinary topological spaces to generalized topological spaces. We obtain several characterizations of omega open sets in generalized topological spaces and prove that they form a generalized topology. Using omega open sets we introduce characterizations of Lindelöf, compact, and countably compact concepts generalized topological spaces. Also, we generalize the concepts of continuity in generalized topological spaces via omega open sets.


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ISRP Style

Samer Al Ghour, Wafa Zareer, Omega open sets in generalized topological spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 3010--3017

AMA Style

Ghour Samer Al, Zareer Wafa, Omega open sets in generalized topological spaces. J. Nonlinear Sci. Appl. (2016); 9(5):3010--3017

Chicago/Turabian Style

Ghour, Samer Al, Zareer, Wafa. "Omega open sets in generalized topological spaces." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 3010--3017


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