f is continuous if and only if inverse image of closed set is closed | Analysis |BSc Mathematics

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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
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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f is continuous iff f inverse C is closed set in X for every closed set C in Y | Real Analysis f is continuous iff f inverse C is closed set in X for every closed set C in Y | Real Analysis
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
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
f is continuous iff f^(-1) (F) is closed in M_1 whenever F is closed in M_2 f is continuous iff f^(-1) (F) is closed in M_1 whenever F is closed in M_2