Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces

Anwar Jabor Fawakhreh

Saudi Arabia

Qassim University

Department of Mathematics, Collage of Science, Qassim University, P.O. Box 6644, Buraydah 51402, Saudi Arabia.

Adem Kiliçman

Malaysia

University Putra Malaysia

Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

Submitted: 2013-07-31

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Accepted: 2013-07-31

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DOI: https://doi.org/10.4995/agt.2011.1647
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Keywords:

Lindelöf, weakly Lindelöf and weakly regular-Lindel¨of space, Almost continuous and almost precontinuous functions

Supporting agencies:

This research was not funded

Abstract:

In this paper we study the effect of mappings and some decompositions of continuity on weakly Lindelöf spaces and weakly regular-Lindelöf spaces. We show that some mappings preserve these topological properties. We also show that the image of a weakly Lindelöf space (resp. weakly regular-Lindelöf space) under an almost continuous mapping is weakly Lindelöf (resp. weakly regular-Lindelöf). Moreover, the image of a weakly regular-Lindelöf space under a precontinuous and contracontinuousmapping is Lindelöf.
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