FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

Weak normality of $2X$ and of $X\tau$

A. P. Kombarov

Abstract

View as HTML     View as gif image    View as LaTeX source

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.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/98/981/98111h.htm
Last modified: April 8, 1998