Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 18-21
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M. M. Zarichnyi. Hypersymmetric powers of supercompacta. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 18-21. http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a4/
@article{VMUMM_1983_1_a4,
author = {M. M. Zarichnyi},
title = {Hypersymmetric powers of supercompacta},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {18--21},
year = {1983},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a4/}
}
TY - JOUR
AU - M. M. Zarichnyi
TI - Hypersymmetric powers of supercompacta
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 18
EP - 21
IS - 1
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a4/
LA - ru
ID - VMUMM_1983_1_a4
ER -
%0 Journal Article
%A M. M. Zarichnyi
%T Hypersymmetric powers of supercompacta
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 18-21
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a4/
%G ru
%F VMUMM_1983_1_a4
We prove that no hypersymmetric power functor $\exp_n$, $n\ge3$, preserves the property of a topological space to be supercompact Hausdorff. In the proof we use the construction of an example due to van Mill and Mills.
