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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A ZFC example (of minimum weight)
of a Lindelöf space and a completely
metrizable space with a nonnormal product


Author: L. Brian Lawrence
Journal: Proc. Amer. Math. Soc. 124 (1996), 627-632
MSC (1991): Primary 54B10; Secondary 54D20, 54E50
MathSciNet review: 1273506
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Abstract: We give an example as indicated in the title where the weight (i.e., the minimum cardinality of a base for the topology) of the product is the smallest uncountable cardinal.


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Additional Information

L. Brian Lawrence
Affiliation: Department of Mathematics, George Mason University, Fairfax, Virginia 22030-4444

DOI: http://dx.doi.org/10.1090/S0002-9939-96-02864-X
PII: S 0002-9939(96)02864-X
Keywords: Product, Lindel\"of, completely metrizable, normal, Michael line, Michael space, Continuum Hypothesis, Martin's Axiom
Received by editor(s): November 24, 1992
Received by editor(s) in revised form: March 14, 1994
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1996 American Mathematical Society