Hey all!

I was wondering... Everywhere I see examples of completes spaces, I also see that \mathbb{R} is complete with the usual metric. That's fine with me, but I was wondering why I see no example of a metric for which \mathbb{R} is not complete.

For those wondering - I was thinking about all this when trying to prove (or disprove) that \mathbb{R} is complete with d(x,y)=|x^{\frac{1}{3}}-y^{\frac{1}{3}}|.