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Separately continuous functions on products and its dependence on $\aleph$ coordinates (1601.02343v1)
Published 11 Jan 2016 in math.GN
Abstract: 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.
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