A Note On Quasi-Lindelöf Spaces
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 197-201.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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
@article{MEM_2012_41_1_a19,
     author = {Staynova, Petra},
     title = {A {Note} {On} {Quasi-Lindel\"of} {Spaces}},
     journal = {Mathematics and Education in Mathematics},
     pages = {197--201},
     publisher = {mathdoc},
     volume = {41},
     number = {1},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a19/}
}
TY  - JOUR
AU  - Staynova, Petra
TI  - A Note On Quasi-Lindelöf Spaces
JO  - Mathematics and Education in Mathematics
PY  - 2012
SP  - 197
EP  - 201
VL  - 41
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a19/
LA  - en
ID  - MEM_2012_41_1_a19
ER  - 
%0 Journal Article
%A Staynova, Petra
%T A Note On Quasi-Lindelöf Spaces
%J Mathematics and Education in Mathematics
%D 2012
%P 197-201
%V 41
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a19/
%G en
%F MEM_2012_41_1_a19
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/