Continuous Functions on a Metric Space Video Lecture | Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
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Answered: Problem 4. Suppose that (X, d) is a metric space and R has the standard metric. Let f: X R be a continuous function. For each r > 0, show that | bartleby
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SOLVED: Suppose (X,dx) and (Y,dy are metric spaces. Prove that the function f X -Y is continuous at the point a € X if and only if for every open set U in (Y,dy) containing f(a), there is an open set V containing @ such that V C f-1(U).
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