On Some Results About P - Lindelöf Spaces

Murhaf Obaidi

Mustansiriah University, Department of Mathematics, Iraq

Abstract

In this work, we study p-Lindelöf spaces, a concept which is "stronger" than Lindelöf spaces. Every p-compact space is proven to be p-Lindelöf space, so the concept of p-Lindelöf is a generalization of the concept of p-compact. Most of the theorems which are valid for p-compact spaces will be also valid for p-Lindelöf spaces, (with a slight modification). We also study local p-Lindelöf spaces with many related theorems and examples.

Keywords: Topology; topological space; Lindelof space; countable set