Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 32, No 1, (2006), 57p-62p
For given completely regular topological spaces X and Y, there is a completely regular space
X ~⊗ Y such that for any completely regular space Z a mapping f : X × Y ⊗ Z is separately continuous
if and only if f : X ~⊗ Y→ Z is continuous.
We prove a necessary condition of normality, a sufficient condition of collectionwise normality,
and a criterion of normality of the products X ~⊗ Y in the case when at least one factor is scattered.