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Journal Article

# A Remark on the Normality of Infinite Products

Keiko Chiba
Proceedings of the American Mathematical Society
Vol. 105, No. 2 (Feb., 1989), pp. 510-512
DOI: 10.2307/2046971
Stable URL: http://www.jstor.org/stable/2046971
Page Count: 3

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Topics: Mathematical theorems, Topological theorems, Infinite products, Numbers, General topology

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