Subnormal spaces and a Dowker-type problem
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 181-186
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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.
@article{FPM_1998_4_1_a14,
author = {A. N. Yakivchik},
title = {Subnormal spaces and a {Dowker-type} problem},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {181--186},
publisher = {mathdoc},
volume = {4},
number = {1},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a14/}
}
A. N. Yakivchik. Subnormal spaces and a Dowker-type problem. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 181-186. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a14/