Separately continuous functions on products and its dependence on   $\aleph$ coordinates
  It is investigated necessary and sufficient conditions on topological spaces $X=\prod\limits _{s\in S}X_s$ and $Y=\prod\limits _{t\in T}Y_t$ for the dependence of every separately continuous functions $f:X\times Y\to \mathbb R$ on at most $\aleph$ coordinates with respect to the first or the second variable. 
V.V. Mykhaylyuk
math.GN