Geodesic
Seminormal functors and paranormality
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2023), pp. 67-71

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It is known that if a space $\mathcal{F}(X)$ is hereditarily paranormal for a paracompact $p$-space $X$ and normal functor $\mathcal{F}$ of degree $\ge 3$ in the category $\mathcal{P}$ of paracompact $p$-spaces and their perfect maps, then $X$ is metrizable. In this paper, a generalization of this theorem is proved for seminormal functors in the category $\mathcal{P}$. 
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     author = {A. A. Ivanov},
     title = {Seminormal functors and paranormality},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
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     number = {2},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_2_a8/}
}
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A. A. Ivanov. Seminormal functors and paranormality. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2023), pp. 67-71. http://geodesic.mathdoc.fr/item/VMUMM_2023_2_a8/