A remark on the normality of infinite products

Author:

Chiba Keiko

Abstract

In this note we shall prove the following: Suppose that all finite subproducts of a product space X = β > λ X β X = \prod \nolimits _{\beta > \lambda } {{X_\beta }} are normal. If X X is λ \lambda -paracompact, then X X is normal. Here λ \lambda stands for an infinite cardinal number.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Normality in products;Bešlagić, Amer;Topology Appl.,1986

2. Paracompactness and product spaces;Morita, K.;Fund. Math.,1961

3. Countable paracompactness of inverse limits and products;Nagami, Keiô;Fund. Math.,1971

4. Products of normal spaces;Przymusiński, Teodor C.,1984

5. Countable paracompactness in product spaces;Zenor, Phillip;Proc. Amer. Math. Soc.,1971

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1. Normal covers of various products;Topology and its Applications;2010-06

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