Let's take the real line.(adsbygoogle = window.adsbygoogle || []).push({});

I understand that there exists a subset of the real line which is connected and compact. Ex: [0,1]

I understand that there exists a subset of the real line which is neither connected or compact.

Ex: (0,1) U (5,6)

Do there exist any subsets of the real line which are compact and not connected?

Do there exist any subsets of the real line which are connected and not compact?

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# Compactness and Connectedness

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