I know that the set of complex number is a normed linear with norm $\|z\|=|z|$. The induced metric is $d(z,w)=|z-w|$ for complex $z$ and $w$. But I want to prove that the set is complete.Thanks for any help
Show that the set of complex numbers is complete metric space
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0Do you know that $\mathbb{R}$ is complete? – 2012-05-05