Geodesic
Hypersymmetric powers of supercompacta
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 18-21

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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. 
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     author = {M. M. Zarichnyi},
     title = {Hypersymmetric powers of supercompacta},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {18--21},
     publisher = {mathdoc},
     number = {1},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a4/}
}
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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/