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  3. prove the following theorems: 1. a finite union of

Prove the following Theorems: 1. A finite union of compact sets is compact. 2. Any intersection of...

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Advance Math

Prove the following Theorems:

1. A finite union of compact sets is compact.

2. Any intersection of compact set is compact.

3. A closed subset of a compact set is compact.

4. Every finite set in IRn is compact.

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