How do you prove the following theorem? If X is a metric space and E a subset of X is compact, then E is sequentially compact.
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Originally Posted by Alex314 How do you prove the following theorem? If X is a metric space and E a subset of X is compact, then E is sequentially compact. Is it possible that there is an infinite subset of $\displaystyle E$ with no accumulation point in $\displaystyle X$?
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