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  3. suppose (x, dx) and (y, dy ) are metric spaces. de

Suppose (X, dX) and (Y, dY ) are metric spaces. Define d : (X ×Y )×(X...

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Advance Math

Suppose (X, dX) and (Y, dY ) are metric spaces. Define d : (X ×Y)×(X × Y ) ? R by d((x, y),(a, b)) = dX(x, a) + dY (y, b). Prove dis a metric on X × Y .

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