Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 4, Pages 61–63 (Mi vmumm517)  
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Normal functors on the category of paracompact $p$-spaces and their perfect mappings

M. A. Dobrinina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: It is proved that for any paracompact $p$-space $X$ and any normal functor ${\mathscr F}$ of degree $\geq3$ in the category $\mathscr{P}$ the hereditary normality of the space $\mathscr{F}(X) \setminus X$ implies the metrizability of $X$.
Key words: paracompact $p$-space, normal functor, hereditary normality, metrizability.
Received: 16.12.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 4, Pages 185–187
DOI: https://doi.org/10.3103/S0027132212040109
Bibliographic databases:
Document Type: Article
UDC: 515.12
Language: Russian
Citation: M. A. Dobrinina, “Normal functors on the category of paracompact $p$-spaces and their perfect mappings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 4, 61–63; Moscow University Mathematics Bulletin, 67:4 (2012), 185–187
Citation in format AMSBIB
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\by M.~A.~Dobrinina
\paper Normal functors on the category of paracompact $p$-spaces and their perfect mappings
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 4
\pages 61--63
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 4
\pages 185--187
\crossref{https://doi.org/10.3103/S0027132212040109}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866180819}
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