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Compactness and Sequential Compactness Proof by Alex Santiago is a document available to read on EtoBox.

What is Compactness and Sequential Compactness Proof about?

1) A subset of a metric space is compact if and only if it is sequentially compact. 2) The proof shows this by establishing that if a subset is not sequentially compact, it cannot be compact as it would not have a finite subcover. 3) It also shows that if a subset is sequentially compact, any open cover must have a finite subcover, making it compact.

Author

Alex Santiago

Language

EN