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.
@article{VMUMM_2021_6_a8,
author = {A. A. Ivanov},
title = {Normal functors and paranormality},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {51--53},
publisher = {mathdoc},
number = {6},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2021_6_a8/}
}
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/