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REMARKS ON QUASI-LINDELÖF SPACES

Part of: Fairly general properties

Published online by Cambridge University Press:  12 June 2013

YAN-KUI SONG
YAN-KUI SONG*
Affiliation:
Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, PR China email [email protected]
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Abstract

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In this paper, we show that there exist a Tychonoff quasi-Lindelöf space $X$ and a compact space $Y$ such that $X\times Y$ is not quasi-Lindelöf. This answers negatively an open question of Petra Staynova.

Keywords

Lindelöfweakly Lindelöfquasi-Lindelöf

MSC classification

Secondary: 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 88 , Issue 3 , December 2013 , pp. 506 - 508
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

References

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