f is continuous iff f inverse C is closed set in X for every closed set C in Y | Real Analysis

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A mapping f is continuous iff inverse of f(C) is closed in X for every closet set C in Y. A mapping f is continuous iff inverse of f(C) is closed in X for every closet set C in Y.
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
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.
Topology: A function is continuous if and only if inverse image of every closed set is closed Topology: A function is continuous if and only if inverse image of every closed set is closed
6. f is continuous iff f(cl(A)) is subset of cl(f(A)) for every subset of X || Continuity in metric 6. f is continuous iff f(cl(A)) is subset of cl(f(A)) for every subset of X || Continuity in metric
The Inverse Image of a CLOSED Set Under a Continuous Function is CLOSED | Analysis The Inverse Image of a CLOSED Set Under a Continuous Function is CLOSED | Analysis
# 8, f is continuous iff inverse image of a closed set is closed in metric space # 8, f is continuous iff inverse image of a closed set is closed in metric space
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