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

• Fawakhreh, Anwar Jabor ^[1] ; Kiliçman, Adem ^[2]
  1. [1] Qassim University

     Qassim University

     Arabia Saudí

     
  2. [2] Universiti Putra Malaysia

     Universiti Putra Malaysia

     Malasia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 12, Nº. 2, 2011, págs. 135-141
• Idioma: inglés
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• Resumen

  • 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.