Take the discreet metric on an infinite set A.(adsbygoogle = window.adsbygoogle || []).push({});

I understand that its closed (because it contains all of its limit points), but I don't understand why its bounded and why its not compact.

Also, when they say "an infinite set A" do they mean a set that extends to infinite (say, [1,n] for all n in the natural numbers)? or is it a set in which there are infinitely many points in it?

Thank you,

M

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# Homework Help: An example of a close and bounded set that is not compact

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