Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces
[EN] 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-Lindel...
| Autores: | ; |
|---|---|
| Tipo de documento: | Artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/87092 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/87092 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Lindelöf Weakly Lindelöf and weakly regular-Lindelöf space Almost continuous and almost precontinuous functions |
| _version_ | 1878737247260377088 |
|---|---|
| author | Fawakhreh, Anwar Jabor |
| author2 | Kiliçman, Adem |
| author2_role | author |
| author_browse | Fawakhreh, Anwar Jabor Kiliçman, Adem |
| author_facet | Fawakhreh, Anwar Jabor Kiliçman, Adem |
| author_role | author |
| collection | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| description | [EN] 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_9ceba9732190ea57e20938e06ee2894e |
| institution | Universitat Politècnica de València (UPV) |
| instname_str | Universitat Politècnica de València (UPV) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:riunet.upv.es:10251/87092 |
| publishDate | 2011 |
| publishDateSort | 2011 |
| publisher | Universitat Politècnica de València |
| publisherStr | Universitat Politècnica de València |
| reponame_str | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| spelling | Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces Fawakhreh, Anwar Jabor Kiliçman, Adem Lindelöf Weakly Lindelöf and weakly regular-Lindelöf space Almost continuous and almost precontinuous functions [EN] 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. Universitat Politècnica de València https://riunet.upv.es/handle/10251/87092 |
| spellingShingle | Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces Fawakhreh, Anwar Jabor Lindelöf Weakly Lindelöf and weakly regular-Lindelöf space Almost continuous and almost precontinuous functions |
| title | Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces |
| title_full | Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces |
| title_fullStr | Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces |
| title_full_unstemmed | Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces |
| title_short | Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces |
| title_sort | Mappings on weakly Lindelöf and weakly regular-Lindel¨of spaces |
| topic | Lindelöf Weakly Lindelöf and weakly regular-Lindelöf space Almost continuous and almost precontinuous functions |
| topic_facet | Lindelöf Weakly Lindelöf and weakly regular-Lindelöf space Almost continuous and almost precontinuous functions |
| url | https://riunet.upv.es/handle/10251/87092 |