5. Let X and Y be topological spaces and let f: X → Y. Prove that, if for every closed set B in Y, the set f-¹ (B) is cl
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5. Let X and Y be topological spaces and let f: X → Y. Prove that, if for every closed set B in Y, the set f-¹ (B) is cl
5. Let X and Y be topological spaces and let f: X → Y. Prove that, if for every closed set B in Y, the set f-¹ (B) is closed in X, then fis continuous. [5]
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