The Uniformly Normal Spaces / A. V. Bogomolov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 4. P. 64-65 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 170-171].

A topological space X is uniformly normal if the family \cal 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 Lindelöf p-spaces of countable tightness is uniformly normal.

Key words: uniform normality, uniformity, \Sigma-product, countable tightness, F_\sigma-\delta-normality.

№ 4/2016