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  3. 5 suppose xdx and y dy are metric spaces y...

Question: 5 suppose xdx and y dy are metric spaces y...

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5.) Suppose (X,dx) and (Y, dy) are metric spaces, Y is complete, A and f : A → Y is a function, we say that f is an isometry on A if X, A 0, dy ((),(r2)) dx(i, r2) for all x1,x2 e A. (Note that an isometry is always uniformly continuous suppose f is an isomety on A. Let g : A Y be the unique continuous extension of f to A, as discussed in class. Prove that g is an isometry on A
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