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On the Cartesian products of Lindelöf spaces with one factor hereditarily Lindelöf


Author: K. Alster
Journal: Proc. Amer. Math. Soc. 116 (1992), 207-212
MSC: Primary 54B10; Secondary 54D20
DOI: https://doi.org/10.1090/S0002-9939-1992-1118084-X
MathSciNet review: 1118084
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Abstract: E. Michael asked the following question: Is there a space $ X$ such that $ Y \times X$ is Lindelöf for every hereditarily Lindelöf space $ Y$ but $ {X^2}$ is not. The aim of this paper is to present a construction that provides such an example.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1992-1118084-X
Keywords: Lindelöf space, hereditarily Lindelöf, Cartesian product
Article copyright: © Copyright 1992 American Mathematical Society