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Let $X,Y$ be completely regular Baire spaces. Is it true that every real valued separately continuous function on $X\times Y$ has a point of continuity?

Let $X,Y$ be completely regular Baire spaces. Is it true that every separately continuous function on $X\times Y$ has a point of continuity?

Let $X,Y$ be completely regular Baire spaces. Is it true that every real valued separately continuous function on $X\times Y$ has a point of continuity?

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Point of continuity of separately continuous functions

Let $X,Y$ be completely regular Baire spaces. Is it true that every separately continuous function on $X\times Y$ has a point of continuity?