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Is a Function Continuous If It Maps Closure to Closure in Metric Spaces?
Hi, can anyone help me ? Given Topological Spaces (metric spaces) (X, d1) and (Y,d2), show that a function f: X -> Y is continuous if and only if f(cl of A) is a subset of cl of f(A) for all A subset X1. How can i proof this ? Thank you!- Majrou
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- closure Continuity
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- Forum: Calculus and Beyond Homework Help