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11:09
YouTube
Dr. Bevin Maultsby
Nested Compact Set Theorem, Real Analysis I and II
This lesson proves the Nested Compact Set Property, which states that the intersection of a nested family of compact sets is non-empty. I first present three examples of nested sets, illustrating which family satisfies the theorem’s conditions. The proof is directed and uses the concept of sequential compactness, which is equivalent to ...
1.1K views
Sep 20, 2024
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