Omega open sets in generalized topological spaces
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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.
Share and Cite
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
Keywords
- Generalized topology
- \(\omega\)-open sets
- continuous functions
- Lindelöf
- compact
- countably compact.
MSC
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