Prove by counterexample that the infinite union of compact sets is not necessarily compact. That is,...

 

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Prove by counterexample that the infinite union of compact sets is not necessarily compact. That is, for every natural number k, define a compact set Ek whose union is not compact? U EK k=1 Prove by counterexample that the infinite union of compact sets is not necessarily compact. That is, for every natural number k, define a compact set Ek whose union is not compact? U EK k=1

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Suppose by contradiction that the infinite union of compact se... View the full answer