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6. use the definition of a compact set to prove that the union of two compact sets
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SOLVED: Exercise 3.3.5 - Decide whether the following propositions are true or false. If the claim is valid, supply a short proof, and if the claim is false, provide a counterexample. The
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![SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact](https://cdn.numerade.com/ask_images/a93ccef562ef4db9a507dffa74b4fc12.jpg "SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact")