A new certain class of generalized ω-open sets and E-Lindelöfness

During the last few years, the study of generalized closed and open sets has fund considerable interest among general topologies, and they are most essential concepts in pure and applied mathematics. The major objective of offer this article is to offer and discuss a novel idea of extended E-open and ω-open sets that is,ω_E-open sets. Numerous of properties and essential characterizations related to such this idea of generalization open sets have been gave. On the other hand, some fundamental characterizations related to E-Lindelöf spaces have been investigated. Additionally, diverse examples have been presented to support our major outcome.