Topology: A function is continuous if and only if inverse image of every closed set is closed

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A function is continuous iff for every closed set C in Y f-1(C) is closed in X A function is continuous iff for every closed set C in Y f-1(C) is closed in X
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f is continuous if and only if the inverse image of a closed set is closed f is continuous if and only if the inverse image of a closed set is closed
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A Function f is Continuous on X iff, for every subset C closed in Y, f inverse C is closed in X. A Function f is Continuous on X iff, for every subset C closed in Y, f inverse C is closed in X.
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A Function is Continuous iff The Preimage of a Set in the Codomain is open in the Domain Topology A Function is Continuous iff The Preimage of a Set in the Codomain is open in the Domain Topology