FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 135-140

A. P. Kombarov

Abstract

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It is proved that a weak normality of a space of closed
subsets of a countably compact space
```$X$ implies that
$X$ is compact. The example shows that the countable
compactness of $X$ is essential. It is also proved that a weak
normality of a sufficiently large power of $X$ implies that
$X$ is compact.

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Last modified: April 8, 1998