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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
1983
Number 1,
Pages
18–21
(Mi vmumm3440)
Mathematics
Hypersymmetric powers of supercompacta
M. M. Zarichnyi
Abstract:
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.
UDC:
513.834
Received:
03.07.1981
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