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

DOI10.1090/S0002-9939-96-02864-XzbMath0894.54011OpenAlexW1545825835MaRDI QIDQ4874377

L. Brian Lawrence

Publication date: 21 April 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-02864-x

zbMATH Keywords

Martin's axiomcontinuum hypothesisLindelöf spacenormal spaceMichael spaceMichael linecompletely metrizable space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10)

Related Items (2)

On nonnormal products and a set of A. H. Stone ⋮ Products of Michael spaces and completely metrizable spaces

Cites Work

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• The normality of products with one compact factor, revisited
• Some remarks concerning the Lindelöf property of the product of a Lindelöf space with the irrationals
• Products of Lindelöf spaces and GO-spaces
• The Product of a Lindelof Space with the Space of Irrationals Under Martin's Axiom
• The Influence of a Small Cardinal on the Product of a Lindelof Space and the Irrationals
• The product of a normal space and a metric space need not be normal

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