FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 181-186

A. N. Yakivchik

Abstract

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```
In the present paper the class of subnormal spaces --- the
spaces in which any two closed disjoint sets can be separated
by disjoint
```$G_\delta$ sets --- is considered. It is proved
that the product of a space $X$ by the closed real interval
(or by any $\sigma$-compact Hausdorff space with countable
network) is subnormal provided that $X$ is subnormal and
countably metacompact. An example of a weakly normal space
which is not subnormal is presented.

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Last modified: April 8, 1998