Mappings on weakly Lindel?f and weakly regular-Lindel¨of spaces

摘要

In this paper we study the effect of mappings and some decompositions of continuity on weakly Lindel?f spaces and weakly regular-Lindel?f spaces. We show that some mappings preserve these topological properties. We also show that the image of a weakly Lindel?f space (resp. weakly regular-Lindel?f space) under an almost continuous mapping is weakly Lindel?f (resp. weakly regular-Lindel?f). Moreover, the image of a weakly regular-Lindel?f space under a precontinuous and contracontinuousmapping is Lindel?f.