Geodesic
Criterion of Normality of the Completely Regular Topology of Separate Continuity
Serdica Mathematical Journal, Tome 32 (2006) no. 1, pp. 57-62 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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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.
Keywords: Separate Continuity, Normality, Collectionwise Normality, Scattered Spaces, Cech-Complete Spaces, Zero-Dimensional Spaces, Paracompactness, Locally Compact Spaces 
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     author = {Grinshpon, Yakov S.},
     title = {Criterion of {Normality} of the {Completely} {Regular} {Topology} of {Separate} {Continuity}},
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Grinshpon, Yakov S. Criterion of Normality of the Completely Regular Topology of Separate Continuity. Serdica Mathematical Journal, Tome 32 (2006) no. 1, pp. 57-62. http://geodesic.mathdoc.fr/item/SMJ2_2006_32_1_a4/