Normal functors and paranormality
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2021), pp. 51-53

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It is proved that if $\mathcal{F}\colon\mathcal{P}\longrightarrow\mathcal{P}$ is a normal functor of degree $\geqslant 3$ in the category $\mathcal{P}$ of paracompact $p$-spaces and perfect mappings, and the space $\mathcal{F}(X)$ is hereditarily paranormal, then the space $X$ is metrizable.
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     author = {A. A. Ivanov},
     title = {Normal functors and paranormality},
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A. A. Ivanov. Normal functors and paranormality. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2021), pp. 51-53. http://geodesic.mathdoc.fr/item/VMUMM_2021_6_a8/