On nearly Lindelöf spaces via generalized topology.
Keywords:µ-open set, µr-open set, ωμ-regular open set, μ-nearly Lindelöf space
AbstractIn this paper a new class of sets termed as ωμ-regular open sets has been introduced and some of its properties are studied. We have introduced μ-nearly Lindelöfness in μ-spaces. We have shown that under certain conditions a μ-Lindelöf space  is equivalent to a μ-nearly Lindelöf space. Some properties of such spaces and some characterizations of such spaces in terms of ωμ -regular open sets are given.
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