Some remarks on metric spaces whose product with every Lindelöf space is Lindelöf
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- by K. Alster PDF
- Proc. Amer. Math. Soc. 127 (1999), 2469-2473 Request permission
Abstract:
Let us assume that Martin’s Axiom holds. We prove that if $X$ is a metrizable space whose product with every Lindelöf space is Lindelöf, then for every metric $d$ on $X,$ consistent with the topology of $X, (X,d)$ is a countable union of totally bounded subsets.References
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Additional Information
- K. Alster
- Affiliation: Institute of Mathematics, Polish Academy of Sciences, 00-950 Warsaw, Poland
- Email: kalster@impan.gov.pl
- Received by editor(s): November 12, 1996
- Received by editor(s) in revised form: October 31, 1997
- Published electronically: April 8, 1999
- Communicated by: Alan Dow
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2469-2473
- MSC (1991): Primary 54B10, 54D20
- DOI: https://doi.org/10.1090/S0002-9939-99-04780-2
- MathSciNet review: 1487353