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The uniformly normal spaces

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Abstract

A topological space X is uniformly normal if the family U of all symmetric neighborhoods of the diagonal Δ ⊂ X × X forms a uniformity on X. A neighborhood of the diagonal is any subset whose interior contains the diagonal. It is proved that the Σ-product of Lindelöf p-spaces of countable tightness is uniformly normal.

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Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119991, Russia

    A. V. Bogomolov

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  1. A. V. Bogomolov
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Correspondence to A. V. Bogomolov.

Additional information

Original Russian Text © A.V. Bogomolov, 2016, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2016, Vol. 71, No. 4, pp. 64–65.

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Bogomolov, A.V. The uniformly normal spaces. Moscow Univ. Math. Bull. 71, 170–171 (2016). https://doi.org/10.3103/S0027132216040070

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  • DOI: https://doi.org/10.3103/S0027132216040070

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