This was the theorem i was trying to apply Theorem 18 4 (Maps into products) Let f A X x Y be given by the equation f (a) (f1(a), f2(a)) Then f is continuous if and only if the functions f1 A X and f2 A Y are continuous The maps fi and f2 are called the coordinate functions of f

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This was the theorem i was trying to apply Theorem 18 4 (Maps into products) Let f   A   X x Y be given by the equation f (a)   (f1(a), f2(a))  Then f is continuous if and only if the functions f1   A   X and f2   A   Y are continuous  The maps fi and f2 are called the coordinate functions of f

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Question: This was the theorem i was trying to apply Theorem 18.4 (Maps into products) Let f : A - X x Y be given by

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