In R we have the following result:(adsbygoogle = window.adsbygoogle || []).push({});

A set C is compact if and only if it is closed and bounded. However, the converse of this statement isn't always true in a general metric space. What makes R so special? Or in other words, what conditions would I need on an arbitrary metric space for the converse to hold?

This is something I was just thinking about, any ideas would be appreciated!

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# Compactness and Metric Spaces

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