The class of co-Namioka compact spaces is stable under product
Bouziad, Ahmed
HAL, hal-00373444 / Harvested from HAL
Text on HAL
A Baire space $B$ and a compact space $K$ satisfy the Namioka property $N(B,K)$ if for every separately continuous function $f: B\times K\to R$ there is a dense set $A\subset B$ such that $f$ is jointly continuous at each poin of $A\times K$. Its proved that $N(B,K)$ and $N(B,L)$ imply $N(B,K\times L$. It follows in particular that the class of co-Namioka compact spaces is stable under (arbitrary) product.
Publié le : 1996-07-05
Classification:  Namioka property,  joint continuity,  separate continuity,  54C05 , 46A50, 46B99, 54D30,  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA],  [MATH.MATH-GN]Mathematics [math]/General Topology [math.GN] 
@article{hal-00373444,
     author = {Bouziad, Ahmed},
     title = {The class of co-Namioka compact spaces is stable under product},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00373444}
}

Bouziad, Ahmed. The class of co-Namioka compact spaces is stable under product. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00373444/