2
$\begingroup$

Prove or disprove: If $M$ is complete and $f:(M, d )\to (N, p)$ is continuous, then $f(M)$ is complete.

  • 2
    Asymptotes and such things kill this: consider the function $x\mapsto e^{-x^2}$, for example.2012-05-20

4 Answers 4