Show pseudocompactness implies compactness in a metric space

Cratylus

Junior Member
Joined
Aug 14, 2020
Messages
82
I have seen the contrapositive version of this assregion.

I know in a metric space countable compactnesses and pseudocompactness imply compactness,but
I cant find a way to do it directly.

Any help on how to to do would be appreciated.
I am 59 & this is not homework.
 
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