Geodesic
A Note On Quasi-Lindelöf Spaces
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 197-201 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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The quasi-Lindelöf property was first introduced by Arhangelski in [1], 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. *2000 Mathematics Subject Classification: 54A05.
Keywords: Quasi-Lindelöf Property 
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Staynova, Petra. A Note On Quasi-Lindelöf Spaces. Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 197-201. http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a19/