Metric Space is Weakly Countably Compact iff Countably Compact

Theorem

Let $M = \left({A, d}\right)$ be a metric space.

Then $M$ is weakly countably compact if and only if $M$ is countably compact.

Proof

The result follows from $T_1$ Space is Weakly Countably Compact iff Countably Compact.

$\blacksquare$