Research Article

Remarks on star weakly Lindelöf spaces

Published in: Quaestiones Mathematicae
Volume 46 , issue 1 , 2023 , pages: 73–83

DOI: 10.2989/16073606.2021.2010829

Author(s): Yan-Kui Song Nanjing Normal University, P.R. China , Wei-Feng Xuan Nanjing Audit University, P.R. China

Keywords: Primary: Primary: 54D20 , Secondary: Secondary: 54A35 , Star Lindelöf , star almost Lindelöf , star weakly Lindelöf

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Abstract

Let P be a topological property. A space X is said to be star P if whenever is an open cover of X, there exists a subspace A ⊆ X with property P such that , where . In this paper, we investigate the relationships among star Lindelöf spaces, star almost Lindelöf spaces and star weakly Lindelöf spaces, and also study topological properties of star weakly Lindelöf spaces.

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