Mappings on weakly Lindelof and weakly regular-Lindelof spaces.

In this paper we study the effect of mappings and some decompositions of continuity on weakly Lindelof spaces and weakly regular-Lindelof spaces. We show that some mappings preserve these topological properties. We also show that the image of a weakly Lindelof space (resp. weakly regular-Lindelof sp...

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Main Authors: Alfawakhreh, Anwar Jabor, Kilicman, Adem
Format: Article
Language:English
English
Published: Universidad Politécnica de Valencia 2011
Online Access:http://psasir.upm.edu.my/id/eprint/25066/
http://psasir.upm.edu.my/id/eprint/25066/1/Mappings%20on%20weakly%20Lindelof%20and%20weakly%20regular.pdf
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author Alfawakhreh, Anwar Jabor
Kilicman, Adem
author_facet Alfawakhreh, Anwar Jabor
Kilicman, Adem
author_sort Alfawakhreh, Anwar Jabor
building UPM Institutional Repository
collection Online Access
description In this paper we study the effect of mappings and some decompositions of continuity on weakly Lindelof spaces and weakly regular-Lindelof spaces. We show that some mappings preserve these topological properties. We also show that the image of a weakly Lindelof space (resp. weakly regular-Lindelof space) under an almost continuous mapping is weakly Lindelof (resp. weakly regular-Lindelof). Moreover, the image of a weakly regular-Lindelof space under a precontinuous and contracontinuous mapping is Lindelof.
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publishDate 2011
publisher Universidad Politécnica de Valencia
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spelling upm-250662015-10-09T08:46:04Z http://psasir.upm.edu.my/id/eprint/25066/ Mappings on weakly Lindelof and weakly regular-Lindelof spaces. Alfawakhreh, Anwar Jabor Kilicman, Adem In this paper we study the effect of mappings and some decompositions of continuity on weakly Lindelof spaces and weakly regular-Lindelof spaces. We show that some mappings preserve these topological properties. We also show that the image of a weakly Lindelof space (resp. weakly regular-Lindelof space) under an almost continuous mapping is weakly Lindelof (resp. weakly regular-Lindelof). Moreover, the image of a weakly regular-Lindelof space under a precontinuous and contracontinuous mapping is Lindelof. Universidad Politécnica de Valencia 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25066/1/Mappings%20on%20weakly%20Lindelof%20and%20weakly%20regular.pdf Alfawakhreh, Anwar Jabor and Kilicman, Adem (2011) Mappings on weakly Lindelof and weakly regular-Lindelof spaces. Applied General Topology , 12 (2). pp. 135-141. ISSN 1576-9402 http://www.upv.es/ English
spellingShingle Alfawakhreh, Anwar Jabor
Kilicman, Adem
Mappings on weakly Lindelof and weakly regular-Lindelof spaces.
title Mappings on weakly Lindelof and weakly regular-Lindelof spaces.
title_full Mappings on weakly Lindelof and weakly regular-Lindelof spaces.
title_fullStr Mappings on weakly Lindelof and weakly regular-Lindelof spaces.
title_full_unstemmed Mappings on weakly Lindelof and weakly regular-Lindelof spaces.
title_short Mappings on weakly Lindelof and weakly regular-Lindelof spaces.
title_sort mappings on weakly lindelof and weakly regular-lindelof spaces.
url http://psasir.upm.edu.my/id/eprint/25066/
http://psasir.upm.edu.my/id/eprint/25066/
http://psasir.upm.edu.my/id/eprint/25066/1/Mappings%20on%20weakly%20Lindelof%20and%20weakly%20regular.pdf