On $tau$-Lindelöf spaces

Document Type : Research Articles

Authors

Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran

Abstract

A topological space X is said to be τ-Lindelöf space if every open cover of X contains a subcover of cardinality ≤ τ. This paper aims to study those spaces in which all points have a τ-Lindelöf neighborhood, calling them locally τ-Lindelöf. This work extends the known results from Lindelöf and locally Lindelöf spaces to τ-Lindelöf and locally τ-Lindelöf spaces.

Keywords

Main Subjects