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

Alster, K.

doi:10.1090/S0002-9939-1992-1118084-X

On the Cartesian products of Lindelöf spaces with one factor hereditarily Lindelöf
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by K. Alster

Proc. Amer. Math. Soc. 116 (1992), 207-212

DOI: https://doi.org/10.1090/S0002-9939-1992-1118084-X

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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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