Some properties and mappings on weakly \(\nu \)-Lindelöf generalized topological spaces
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Authors
M. Abuage
- Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia.
A. Kılıçman
- Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia.
Abstract
Our work aims to study weakly \(\nu \)-Lindelöf (briefly \(w\nu \)-Lindelöf) space in generalized topological spaces. Some characterizations of \(w\nu \)-Lindelöf subspaces and subsets are showed.
Furthermore, we shall show that the \(w\nu \)-Lindelöf generalized topological space is not a hereditary property. Finally, the effect of some mappings and decompositions of continuity are studied. The main result that we obtained on is the effect of almost \((\nu, \mu)\)-continuous function on \(w\nu \)-Lindelöf generalized topological space.
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ISRP Style
M. Abuage, A. Kılıçman, Some properties and mappings on weakly \(\nu \)-Lindelöf generalized topological spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4150--4161
AMA Style
Abuage M., Kılıçman A., Some properties and mappings on weakly \(\nu \)-Lindelöf generalized topological spaces. J. Nonlinear Sci. Appl. (2017); 10(8):4150--4161
Chicago/Turabian Style
Abuage, M., Kılıçman, A.. "Some properties and mappings on weakly \(\nu \)-Lindelöf generalized topological spaces." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4150--4161
Keywords
- \(\nu \)-Lindelöf
- \(w\nu \)-Lindelöf
- \(G\)-semiregular generalized topological space.
MSC
- 54A05
- 54B05
- 54C05
- 54C10
- 54D15
- 54D20
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