Normal functors in the categories of paracompact p-spaces and their perfect maps / M. A. Dobrynina. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 4. P. 61-63 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

It is proved that for any paracompact p-space X and any normal functor F of degree ≥3 in the category P the hereditary normality of the space F(X)\X implies the metrizability of X.

Key words: paracompact p-space, normal functor, hereditary normality, metrizability.

№ 4/2012