Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 4, Pages 64–65 (Mi vmumm170)  
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The uniformly normal spaces

A. V. Bogomolov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A topological space $X$ is uniformly normal if the family $\mathcal{ U}$ of all symmetric neighborhoods of the diagonal $\Delta \subset X\times X$ forms a uniformity on $X$. A neighborhood of the diagonal is any subset whose interior contains the diagonal. It is proved that the $\Sigma$-product of Lindelof $p$-spaces of countable tightness is uniformly normal.
Key words: uniform normality, uniformity, $\Sigma$-product, countable tightness, $F_\sigma$-$\delta$-normality.
Received: 18.05.2015
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 4, Pages 170–171
DOI: https://doi.org/10.3103/S0027132216040070
Bibliographic databases:
Document Type: Article
UDC: 515.12
Language: Russian
Citation: A. V. Bogomolov, “The uniformly normal spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 4, 64–65; Moscow University Mathematics Bulletin, 71:4 (2016), 170–171
Citation in format AMSBIB
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