Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 135-140
Citer cet article
A. P. Kombarov. Weak normality of $2^{X}$ and of $X^{\tau}$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 135-140. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a10/
@article{FPM_1998_4_1_a10,
author = {A. P. Kombarov},
title = {Weak normality of~$2^{X}$ and of~$X^{\tau}$},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {135--140},
year = {1998},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a10/}
}
TY - JOUR
AU - A. P. Kombarov
TI - Weak normality of $2^{X}$ and of $X^{\tau}$
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 135
EP - 140
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a10/
LA - ru
ID - FPM_1998_4_1_a10
ER -
%0 Journal Article
%A A. P. Kombarov
%T Weak normality of $2^{X}$ and of $X^{\tau}$
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 135-140
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a10/
%G ru
%F FPM_1998_4_1_a10
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.
