Место издания:Institute of Mathematics Czech Academy of Sciences, Faculty of Mathematics and Physics Charles University Prague
Первая страница:67
Последняя страница:67
Аннотация:A topological space X is called uniformly normal if the family of all
symmetric neighborhoods of the diagonal Δ ⊂ X × X forms a uniformity
on X. The neighborhood of the diagonal is any subset, whose interior
contains the diagonal. It is well-known that all uniformly normal
spaces are collectionwise normal. H. H. Corson showed that
every Σ-product of complete separable metric spaces is uniformly
normal. A. P. Kombarov showed that every Σ-product of Lindelöf
Čech-complete spaces of countable tightness is uniformly normal.
We proved the next generalization:
Theorem Σ-product of Lindelöf p-spaces of countable tightness is uniformly
normal.