Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 6, Pages 51–53 (Mi vmumm4440)  
This article is cited in 1 scientific paper (total in 1 paper)

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Normal functors and paranormality

A. A. Ivanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: 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.
Key words: normal functor, paracompact $p$-space, hereditarily paranormality, metrizability.
Received: 20.01.2021
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 6, Pages 271–273
DOI: https://doi.org/10.3103/S0027132221060048
Bibliographic databases:
Document Type: Article
UDC: 515.12
Language: Russian
Citation: A. A. Ivanov, “Normal functors and paranormality”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 6, 51–53; Moscow University Mathematics Bulletin, 76:6 (2021), 271–273
Citation in format AMSBIB
\Bibitem{Iva21}
\by A.~A.~Ivanov
\paper Normal functors and paranormality
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2021
\issue 6
\pages 51--53
\mathnet{http://mi.mathnet.ru/vmumm4440}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4400793}
\zmath{https://zbmath.org/?q=an:1487.54037}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2021
\vol 76
\issue 6
\pages 271--273
\crossref{https://doi.org/10.3103/S0027132221060048}
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