Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 1, Pages 18–21 (Mi vmumm3440)  
Mathematics

Hypersymmetric powers of supercompacta

M. M. Zarichnyi
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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.
Received: 03.07.1981
Bibliographic databases:
Document Type: Article
UDC: 513.834
Language: Russian
Citation: M. M. Zarichnyi, “Hypersymmetric powers of supercompacta”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 1, 18–21
Citation in format AMSBIB
\Bibitem{Zar83}
\by M.~M.~Zarichnyi
\paper Hypersymmetric powers of supercompacta
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 1
\pages 18--21
\mathnet{http://mi.mathnet.ru/vmumm3440}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0690936}
\zmath{https://zbmath.org/?q=an:0521.54009}
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