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Topology

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Moderate

Compactness And Graph

TOPO-DWDXYV

Let $\Gamma$ be the graph of a real-valued function​ $f$ on $[0,1]$.

Which of the followings is equivalent to $\Gamma$ being compact?

A

$f$ is differentiable.

B

$f$ is continuous.

C

$f$ is measurable.

D

$f$ is analytic.