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...

Full description

Bibliographic Details
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/25066/1/Mappings%20on%20weakly%20Lindelof%20and%20weakly%20regular.pdf
_version_ 1825925701917736960
author Alfawakhreh, Anwar Jabor
Kilicman, Adem
author_facet Alfawakhreh, Anwar Jabor
Kilicman, Adem
author_sort Alfawakhreh, Anwar Jabor
collection UPM
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.
first_indexed 2024-03-06T08:01:44Z
format Article
id upm.eprints-25066
institution Universiti Putra Malaysia
language English
English
last_indexed 2024-03-06T08:01:44Z
publishDate 2011
publisher Universidad Politécnica de Valencia
record_format dspace
spelling upm.eprints-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/25066/1/Mappings%20on%20weakly%20Lindelof%20and%20weakly%20regular.pdf
work_keys_str_mv AT alfawakhrehanwarjabor mappingsonweaklylindelofandweaklyregularlindelofspaces
AT kilicmanadem mappingsonweaklylindelofandweaklyregularlindelofspaces