Some properties and mappings on weakly $\nu$-Lindelöf generalized topological spaces

Volume 10, Issue 8, pp 4150--4161 Publication Date: August 10, 2017       Article History
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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.

Keywords

• $\nu$-Lindelöf
• $w\nu$-Lindelöf
• $G$-semiregular generalized topological space.

•  54A05
•  54B05
•  54C05
•  54C10
•  54D15
•  54D20

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