On lindelöf Σ -Spaces: In Honour of Manuel López-Pellicer

Abstract

We revisit the notion of Lindelöf Σ -space giving a general overview about this question. For that, we deal with the Lindelöf property to introduce Lindelöf Σ -spaces in order to make a description of the “goodness” of such a type of spaces, making special emphasis in the duality between X and Cp(X) respect to some topological properties, more specifically, topological properties in which different cardinal functions are involved. Classical results are linked with more recent results.