A ZFC example (of minimum weight) of a Lindelöf space and a completely metrizable space with a nonnormal product-Reference-Cited by-同舟云学术

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

Published:1996 Issue:2 Volume:124 Page:627-632
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lawrence L.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-02/S0002-9939-96-02864-X/S0002-9939-96-02864-X.pdf

Reference8 articles.

1. The product of a Lindelöf space with the space of irrationals under Martin’s axiom;Alster, K.;Proc. Amer. Math. Soc.,1990

2. Some remarks concerning the Lindelöf property of the product of a Lindelöf space with the irrationals;Alster, K.;Topology Appl.,1992

3. K. Alster and G. Gruenhage, Remarks on the product of Lindelöf spaces (to appear).

4. Normality in products;Bešlagić, Amer,1993

5. The influence of a small cardinal on the product of a Lindelöf space and the irrationals;Lawrence, L. Brian;Proc. Amer. Math. Soc.,1990

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