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...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/87092 |
| Online Access: | https://riunet.upv.es/handle/10251/87092 |
| Access Level: | Open access |
| Keyword: | Lindelöf Weakly Lindelöf and weakly regular-Lindelöf space Almost continuous and almost precontinuous functions |
| Summary: | [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. |
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