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 such that is Lindelöf for every hereditarily Lindelöf space but 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