- E16
[0NH] Given \((X,d)\) a metric space, show that \(d\) is continuous (as a function \(d:X× X→ℝ\)). You can actually show that it is Lipschitz, by associating to \(X× X\) the distance
\[ \hat d (x,y) = d(x_ 1,y_ 1) + d(x_ 2,y_ 2), \text{ for } x=(x_ 1,x_ 2),y=(y_ 1,y_ 2) \in X× X~ . \]Solution 1
EDB — 0NH
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Authors:
"Mennucci , Andrea C. G."
.
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