2012/12/12 by Petra Staynova, Staynova, Petra
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1212.2869
openalex publication_date 2012/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The quasi-Lindelöf property was first introduced by Arhangelski in \citeArc, as a strengthening of the weakly Lindelöf property. However, unlike Lindelöf and weakly Lindelöf spaces, very little is known about how quasi-Lindelöf spaces behave under the main topological operations, and how the property relates to separation axioms. In the present paper, we look at several properties of quasi-Lindelöf spaces. We consider several examples: a weakly Lindelöf space which is not quasi-Lindelöf, a product of Lindelöf spaces which is not even quasi-Lindelöf, and a quasi-Lindelöf space which is not ccc. At the end, we pose some open questions.