Exploring the Role of [d, e]-Lindelöf Spaces: Theoretical Insights and Practical Implications

Several recent notions have expanded the field of topological generalized structures. Notably, among these generalizations, [d,e]-compactness spaces have emerged as particularly significant. The concept of [d,e]-Lindelöfness topology, serving as corresponding generalizations of [d,e]-compactness topology is introduced. The emphasis in this research is on exploring separation axioms and limit points in [d,e]-Lindelöfness spaces through the use of [d,e]-open covers, aiming to make contributions in this area. Description is provided for these concepts, and their behavior is examined in relation to the perfect functions and infinite products. The definitions that are introduced align with their counterparts in topological spaces. The thesis delves into the sufficient conditions and in general, elucidates their fundamental characteristics.